Details

analyze429.0ms (2.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

799×	`sub-neg_binary64`
483×	`neg-mul-1_binary64`
468×	`distribute-rgt-in_binary64`
400×	`associate-+l+_binary64`
382×	`distribute-neg-in_binary64`
359×	`neg-sub0_binary64`
283×	`cancel-sign-sub_binary64`
279×	`associate-+r+_binary64`
268×	`associate-+r-_binary64`
266×	`associate-+l-_binary64`
180×	`associate--r+_binary64`
167×	`distribute-lft-neg-out_binary64`
149×	`associate--r-_binary64`
145×	`+-commutative_binary64`
144×	`associate--l+_binary64`
130×	`cancel-sign-sub-inv_binary64`
116×	`distribute-neg-out_binary64`
110×	`remove-double-neg_binary64`
71×	`associate--l-_binary64`
67×	`distribute-rgt-neg-out_binary64`
60×	`unsub-neg_binary64`
48×	`distribute-lft-neg-in_binary64`
39×	`distribute-lft-out_binary64`
36×	`+-rgt-identity_binary64`
35×	`distribute-lft-out--_binary64`
26×	`distribute-rgt-neg-in_binary64`
24×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64`
23×	`mul-1-neg_binary64`
14×	`*-commutative_binary64`
12×	`distribute-rgt-out--_binary64`
10×	`*-lft-identity_binary64`
6×	`--rgt-identity_binary64`
4×	`sub0-neg_binary64`
1×	`1-exp_binary64` `swap-x-y` `swap-x-z` `swap-x-t`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64` `swap-y-z` `swap-y-t` `swap-z-t`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	350
1	121	350
2	485	350
3	2395	350
4	3486	350
5	4642	350
6	4904	350
7	5085	350
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
6.2%	93.6%	0.2%	5
6.2%	68.6%	25.1%	6
6.2%	49.9%	43.9%	7
6.2%	35.9%	57.9%	8
6.2%	25.3%	68.4%	9
6.2%	20.1%	73.7%	10
6.2%	15.7%	78.1%	11
6.2%	12%	81.7%	12
6.2%	9%	84.8%	13
6.2%	7.5%	86.3%	14

Symmetry

(sort x y z t)

Compiler

Compiled 32 to 28 computations (12.5% saved)

sample177.0ms (1.1%)

Algorithm

1×

intervals

Results

48.0ms	154×	body	512	valid
28.0ms	276×	body	128	nan
26.0ms	51×	body	1024	valid
6.0ms	27×	body	256	valid
2.0ms	24×	body	128	valid

Compiler

Compiled 63 to 59 computations (6.3% saved)

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

634×	`distribute-neg-in_binary64`
543×	`cancel-sign-sub-inv_binary64`
529×	`associate-+r-_binary64`
510×	`associate-+l-_binary64`
481×	`associate--r+_binary64`
364×	`neg-mul-1_binary64`
355×	`associate--r-_binary64` `+-commutative_binary64`
340×	`associate--l+_binary64`
244×	`sub-neg_binary64`
229×	`unsub-neg_binary64`
154×	`associate--l-_binary64`
136×	`associate-+l+_binary64`
115×	`neg-sub0_binary64` `associate-+r+_binary64`
109×	`sub0-neg_binary64`
74×	`+-rgt-identity_binary64`
42×	`--rgt-identity_binary64`
34×	`distribute-neg-out_binary64`
24×	`remove-double-neg_binary64`
6×	`distribute-rgt-in_binary64` `*-commutative_binary64`
5×	`*-lft-identity_binary64`
4×	`distribute-rgt-out_binary64`
2×	`distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `distribute-rgt-neg-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	50
1	54	50
2	166	50
3	881	50
4	3887	50
5	4925	50
6	5168	50

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

7.8b

Counts

2 → 1

Compiler

Compiled 62 to 54 computations (12.9% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.7b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
2.5b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
4.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
5.7b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite261.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

Rules

44×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
40×	`*-un-lft-identity_binary64`
24×	`cancel-sign-sub-inv_binary64`
16×	`difference-of-squares_binary64`
12×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
4×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out_binary64`

Counts

4 → 96

Calls

4 calls:

9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
9.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
8.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

Compiler

Compiled 2828 to 1780 computations (37.1% saved)

series60.0ms (0.4%)

Error

7.6b

Counts

4 → 12

Calls

4 calls:

15.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
13.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
13.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
13.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 1028 to 872 computations (15.2% saved)

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

435×	`cancel-sign-sub-inv_binary64`
323×	`associate-r_binary64`
299×	`associate-l_binary64`
208×	`times-frac_binary64`
160×	`associate-/r*_binary64`
137×	`distribute-lft-in_binary64`
130×	`sub-neg_binary64` `distribute-rgt-in_binary64`
126×	`unsub-neg_binary64`
124×	`div-sub_binary64`
116×	`associate-/l*_binary64`
107×	`*-commutative_binary64`
106×	`neg-sub0_binary64`
100×	`sqr-pow_binary64`
95×	`neg-mul-1_binary64`
92×	`exp-prod_binary64`
88×	`associate-+l+_binary64`
86×	`+-commutative_binary64`
68×	`associate-+r+_binary64`
64×	`exp-sum_binary64`
58×	`unswap-sqr_binary64`
51×	`distribute-rgt-neg-in_binary64`
48×	`swap-sqr_binary64`
43×	`distribute-lft-neg-in_binary64`
40×	`difference-of-squares_binary64`
32×	`mul0-rgt_binary64`
29×	`distribute-lft-neg-out_binary64`
28×	`mul0-lft_binary64` `distribute-rgt-out_binary64` `associate--l+_binary64`
24×	`exp-diff_binary64`
23×	`mul-1-neg_binary64`
21×	`cube-unmult_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
20×	`cube-prod_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64` `associate-*l/_binary64`
17×	`unpow3_binary64` `associate-+l-_binary64`
16×	`rem-sqrt-square_binary64` `associate-*r/_binary64`
13×	`sub0-neg_binary64`
12×	`rem-square-sqrt_binary64` `associate-/r/_binary64`
9×	`cube-mult_binary64`
8×	`+-inverses_binary64` `pow-sqr_binary64`
5×	`distribute-neg-in_binary64` `distribute-rgt1-in_binary64`
4×	`pow-plus_binary64` `div-exp_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--r+_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate--l-_binary64`

Counts

108 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	1688
1	424	1596
2	961	1596
3	3551	1588
4	4912	1588

prune122.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	80	8	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	8	89

Error

1.1b

Counts

89 → 8

Compiler

Compiled 2106 to 1414 computations (32.9% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
1.7b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
4.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
5.7b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite310.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

41×	`*-un-lft-identity_binary64`
36×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
24×	`cancel-sign-sub-inv_binary64`
15×	`add-log-exp_binary64`
12×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
11×	`distribute-lft-out--_binary64`
7×	`distribute-lft-out_binary64` `associate-+r+_binary64`
4×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`
2×	`sum-log_binary64` `frac-add_binary64` `div-inv_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

36.0ms	(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
9.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

Compiler

Compiled 3252 to 2093 computations (35.6% saved)

series80.0ms (0.5%)

Error

1.1b

Counts

4 → 15

Calls

4 calls:

25.0ms	(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
15.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
14.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
13.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 1266 to 1086 computations (14.2% saved)

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

430×	`associate-r_binary64`
418×	`associate-l_binary64`
394×	`distribute-rgt-in_binary64`
388×	`distribute-lft-in_binary64`
213×	`associate-+l+_binary64`
182×	`times-frac_binary64`
143×	`associate-/r*_binary64`
128×	`exp-prod_binary64`
97×	`associate-/l*_binary64`
77×	`sub-neg_binary64`
59×	`cancel-sign-sub-inv_binary64` `*-commutative_binary64`
57×	`distribute-rgt-neg-in_binary64`
52×	`+-commutative_binary64`
47×	`neg-mul-1_binary64`
45×	`neg-sub0_binary64`
44×	`distribute-lft-neg-in_binary64`
36×	`distribute-lft-neg-out_binary64`
34×	`associate--l+_binary64`
32×	`sqr-pow_binary64`
29×	`associate-*l/_binary64`
28×	`associate-+r-_binary64`
27×	`distribute-rgt-neg-out_binary64`
26×	`associate-*r/_binary64`
25×	`distribute-rgt-out_binary64` `associate-+l-_binary64`
24×	`exp-diff_binary64`
18×	`*-lft-identity_binary64` `distribute-neg-frac_binary64`
17×	`cube-prod_binary64` `associate-+r+_binary64`
16×	`unpow3_binary64`
15×	`exp-sum_binary64` `*-rgt-identity_binary64`
14×	`associate--r+_binary64`
13×	`difference-of-squares_binary64`
12×	`rem-sqrt-square_binary64` `distribute-neg-in_binary64`
11×	`associate-/r/_binary64`
10×	`cube-mult_binary64` `distribute-rgt-out--_binary64`
9×	`rem-square-sqrt_binary64` `div-sub_binary64`
8×	`unsub-neg_binary64` `+-rgt-identity_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64`
7×	`div-exp_binary64`
6×	`cube-unmult_binary64` `mul-1-neg_binary64` `unswap-sqr_binary64`
5×	`associate--r-_binary64`
4×	`log-prod_binary64`
3×	`pow-plus_binary64` `prod-exp_binary64` `rem-3cbrt-lft_binary64` `+-inverses_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64`
2×	`distribute-lft-out_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `cube-div_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64`

Counts

113 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2300
1	467	2193
2	1173	2184
3	4889	2184
4	4902	2184

prune175.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	93	10	103

Error

0.1b

Counts

103 → 10

Compiler

Compiled 2765 to 1884 computations (31.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
1.7b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
5.7b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite370.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

177×	`*-un-lft-identity_binary64`
94×	`distribute-lft-out_binary64`
86×	`sqrt-prod_binary64`
66×	`times-frac_binary64`
51×	`add-sqr-sqrt_binary64`
35×	`add-cube-cbrt_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`add-log-exp_binary64`
8×	`add-exp-log_binary64` `difference-of-squares_binary64`
6×	`add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `associate-/r*_binary64`
5×	`pow1_binary64` `div-inv_binary64`
3×	`associate-/l*_binary64`
2×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `div-exp_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `sum-log_binary64` `frac-add_binary64` `+-commutative_binary64`

Counts

4 → 133

Calls

4 calls:

44.0ms	(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))
13.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 4034 to 2739 computations (32.1% saved)

series73.0ms (0.4%)

Error

0.1b

Counts

4 → 15

Calls

4 calls:

28.0ms	(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))
14.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
13.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))

Compiler

Compiled 1253 to 1098 computations (12.4% saved)

simplify162.0ms (1%)

Algorithm

1×	egg-herbie

Rules

360×	`neg-mul-1_binary64`
273×	`cancel-sign-sub-inv_binary64`
262×	`div-sub_binary64`
225×	`associate-r_binary64`
214×	`associate-l_binary64`
212×	`distribute-rgt-in_binary64`
208×	`distribute-rgt-neg-in_binary64`
199×	`distribute-lft-in_binary64`
174×	`distribute-rgt-out_binary64`
171×	`distribute-lft-neg-in_binary64`
160×	`times-frac_binary64`
132×	`distribute-neg-frac_binary64`
123×	`sub-neg_binary64`
121×	`associate-/r*_binary64`
109×	`associate-/l*_binary64`
106×	`*-commutative_binary64`
101×	`distribute-lft-neg-out_binary64`
98×	`associate-+l+_binary64`
91×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
87×	`+-commutative_binary64`
80×	`sqr-pow_binary64`
77×	`unsub-neg_binary64`
72×	`neg-sub0_binary64`
54×	`exp-prod_binary64` `associate-*l/_binary64`
49×	`distribute-lft-out_binary64`
43×	`associate-*r/_binary64`
40×	`exp-sum_binary64`
38×	`unswap-sqr_binary64`
34×	`swap-sqr_binary64`
30×	`distribute-neg-in_binary64` `associate-+r-_binary64`
27×	`cube-unmult_binary64` `*-rgt-identity_binary64`
25×	`cube-prod_binary64` `difference-of-squares_binary64`
24×	`unpow3_binary64` `distribute-rgt-out--_binary64`
23×	`+-rgt-identity_binary64`
22×	`distribute-frac-neg_binary64`
21×	`associate-+l-_binary64`
19×	`*-lft-identity_binary64` `associate-/l/_binary64`
18×	`rem-sqrt-square_binary64` `associate-/r/_binary64` `associate--l+_binary64`
16×	`mul-1-neg_binary64` `mul0-rgt_binary64`
14×	`exp-diff_binary64` `mul0-lft_binary64`
13×	`/-rgt-identity_binary64` `sub0-neg_binary64`
11×	`cube-div_binary64`
10×	`cube-mult_binary64` `sqr-neg_binary64` `distribute-rgt1-in_binary64`
8×	`pow-plus_binary64` `rem-square-sqrt_binary64`
7×	`+-inverses_binary64`
6×	`associate--r+_binary64`
5×	`log-div_binary64`
4×	`log-prod_binary64` `pow-sqr_binary64`
3×	`count-2_binary64`
2×	`log-rec_binary64` `unpow1/2_binary64` `div-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `div0_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64`

Counts

148 → 129

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	3264
1	452	3148
2	1029	3145
3	2939	3141
4	4422	3141
5	4884	3141

prune222.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	128	11	139

Error

0.0b

Counts

139 → 11

Compiler

Compiled 3270 to 2300 computations (29.7% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
1.7b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

rewrite508.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

207×	`*-un-lft-identity_binary64`
109×	`distribute-lft-out_binary64`
91×	`sqrt-prod_binary64`
84×	`times-frac_binary64`
52×	`add-sqr-sqrt_binary64`
44×	`add-cube-cbrt_binary64`
12×	`add-exp-log_binary64` `associate-/r*_binary64`
8×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `cancel-sign-sub-inv_binary64` `div-inv_binary64` `associate-/l*_binary64`
4×	`difference-of-squares_binary64` `div-exp_binary64` `associate-/r/_binary64`
3×	`distribute-lft-out--_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `sum-log_binary64` `frac-add_binary64` `+-commutative_binary64`

Counts

4 → 154

Calls

4 calls:

48.0ms	(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

Compiler

Compiled 5031 to 3507 computations (30.3% saved)

series75.0ms (0.5%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

28.0ms	(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))
16.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))

Compiler

Compiled 1263 to 1122 computations (11.2% saved)

simplify177.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

682×	`distribute-rgt-in_binary64`
552×	`distribute-lft-in_binary64`
221×	`neg-sub0_binary64`
217×	`neg-mul-1_binary64`
184×	`cancel-sign-sub-inv_binary64`
175×	`div-sub_binary64`
161×	`associate-r_binary64`
160×	`associate-l_binary64`
149×	`distribute-rgt-neg-in_binary64`
145×	`distribute-rgt-out_binary64`
116×	`times-frac_binary64` `sub-neg_binary64`
110×	`distribute-lft-neg-in_binary64`
107×	`*-commutative_binary64`
105×	`associate-+r+_binary64`
101×	`associate-/l*_binary64`
98×	`associate-+l+_binary64`
96×	`associate-/r*_binary64`
77×	`+-commutative_binary64`
76×	`distribute-neg-frac_binary64`
70×	`sqr-pow_binary64`
63×	`associate-*l/_binary64`
57×	`distribute-lft-neg-out_binary64`
52×	`associate-*r/_binary64`
50×	`unsub-neg_binary64`
48×	`distribute-rgt-neg-out_binary64`
38×	`associate-+r-_binary64`
32×	`exp-prod_binary64` `*-rgt-identity_binary64`
29×	`distribute-neg-in_binary64` `associate-/l/_binary64`
28×	`unswap-sqr_binary64`
25×	`cube-unmult_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64`
24×	`swap-sqr_binary64`
23×	`exp-sum_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
22×	`unpow3_binary64` `cube-prod_binary64`
21×	`/-rgt-identity_binary64`
20×	`*-lft-identity_binary64`
19×	`distribute-rgt-out--_binary64`
18×	`difference-of-squares_binary64`
14×	`associate--l+_binary64`
13×	`cube-div_binary64` `sub0-neg_binary64`
12×	`rem-sqrt-square_binary64` `mul-1-neg_binary64`
11×	`distribute-frac-neg_binary64` `distribute-rgt1-in_binary64`
10×	`cube-mult_binary64`
9×	`rem-square-sqrt_binary64`
8×	`mul0-rgt_binary64`
7×	`log-div_binary64` `exp-diff_binary64` `mul0-lft_binary64` `+-inverses_binary64`
6×	`associate--r+_binary64`
5×	`sqr-neg_binary64`
4×	`log-prod_binary64` `pow-plus_binary64`
3×	`log-rec_binary64` `unpow1/2_binary64`
2×	`--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64`

Counts

169 → 137

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	3724
1	450	3573
2	1014	3570
3	2471	3568
4	4584	3568
5	4967	3568

prune225.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	138	10	148

Error

0.0b

Counts

148 → 10

Compiler

Compiled 2802 to 1948 computations (30.5% saved)

regimes6.3s (37.7%)

Accuracy

Total 0.1b remaining (66%)

Threshold costs 0.1b (66%)

Compiler

Compiled 141272 to 121467 computations (14% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	62
1	42	62
2	41	62

end21.0ms (0.1%)

Compiler: Compiled 117 to 105 computations (10.3% saved)

sample6.6s (39.3%)

Algorithm

1×

intervals

Results

1.4s	4324×	body	512	valid
1.0s	9765×	body	128	nan
833.0ms	1775×	body	1024	valid
245.0ms	1048×	body	256	valid
90.0ms	853×	body	128	valid

Compiler

Compiled 686 to 582 computations (15.2% saved)

Details

analyze429.0ms (2.6%)

sample177.0ms (1.1%)

simplify49.0ms (0.3%)

prune3.0ms (0%)

localize28.0ms (0.2%)

rewrite261.0ms (1.6%)

series60.0ms (0.4%)

simplify93.0ms (0.6%)

prune122.0ms (0.7%)

localize25.0ms (0.1%)

rewrite310.0ms (1.9%)

series80.0ms (0.5%)

simplify112.0ms (0.7%)

prune175.0ms (1.1%)

localize25.0ms (0.2%)

rewrite370.0ms (2.2%)

series73.0ms (0.4%)

simplify162.0ms (1%)

prune222.0ms (1.3%)

localize31.0ms (0.2%)

rewrite508.0ms (3.1%)

series75.0ms (0.5%)

simplify177.0ms (1.1%)

prune225.0ms (1.4%)

regimes6.3s (37.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end21.0ms (0.1%)

sample6.6s (39.3%)

Profiling