Details

analyze331.0ms (14.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

167×	`unsub-neg_binary64`
143×	`distribute-rgt-in_binary64`
113×	`sub-neg_binary64`
108×	`cancel-sign-sub-inv_binary64`
96×	`associate--r+_binary64`
71×	`neg-mul-1_binary64`
66×	`distribute-lft-in_binary64`
63×	`associate-+l-_binary64`
58×	`associate-r_binary64`
54×	`distribute-neg-out_binary64`
52×	`neg-sub0_binary64`
48×	`distribute-lft-neg-out_binary64`
45×	`distribute-rgt-neg-out_binary64`
43×	`distribute-rgt-neg-in_binary64`
42×	`distribute-lft-neg-in_binary64`
40×	`associate-+r+_binary64` `+-commutative_binary64`
37×	`*-commutative_binary64`
35×	`associate-l_binary64`
30×	`associate--l+_binary64`
28×	`associate-+l+_binary64`
24×	`sub0-neg_binary64`
23×	`distribute-neg-in_binary64`
22×	`associate--l-_binary64`
21×	`associate--r-_binary64`
20×	`distribute-rgt-out--_binary64`
18×	`mul0-rgt_binary64`
16×	`mul0-lft_binary64`
15×	`remove-double-neg_binary64`
13×	`associate-+r-_binary64`
11×	`distribute-rgt-out_binary64`
9×	`*-rgt-identity_binary64`
7×	`*-lft-identity_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_binary64`
3×	`+-lft-identity_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `distribute-lft-out_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` `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-rgt1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	31	40
2	65	40
3	113	40
4	184	40
5	402	40
6	622	40
7	801	40
8	875	40
9	838	40
10	779	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify21.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

71×	`cancel-sign-sub-inv_binary64`
55×	`distribute-rgt-in_binary64`
45×	`sub-neg_binary64`
43×	`unsub-neg_binary64`
33×	`distribute-lft-in_binary64` `associate--r+_binary64`
23×	`associate-l_binary64`
22×	`neg-mul-1_binary64` `distribute-lft-neg-out_binary64`
21×	`associate-r_binary64` `*-commutative_binary64`
20×	`associate-+l-_binary64`
19×	`distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64`
17×	`neg-sub0_binary64` `distribute-rgt-neg-out_binary64`
15×	`associate--l+_binary64` `+-commutative_binary64`
14×	`sub0-neg_binary64`
13×	`associate-+l+_binary64`
12×	`associate-+r+_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64`
8×	`distribute-lft-neg-in_binary64` `associate--r-_binary64` `associate-+r-_binary64`
7×	`+-lft-identity_binary64` `distribute-rgt-out--_binary64`
6×	`remove-double-neg_binary64`
5×	`*-lft-identity_binary64`
4×	`*-rgt-identity_binary64` `--rgt-identity_binary64`
2×	`+-rgt-identity_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_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` `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` `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-neg-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	41	10
4	65	10
5	104	10
6	159	10
7	264	10
8	330	10
9	344	10
10	344	10
11	301	10

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (*.f64 (-.f64 y x) z))

rewrite38.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

7.0ms	(*.f64 (-.f64 y x) z)
4.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

Compiler

Compiled 443 to 125 computations (71.8% saved)

series65.0ms (2.9%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

30.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
26.0ms	(*.f64 (-.f64 y x) z)

Compiler

Compiled 457 to 356 computations (22.1% saved)

simplify52.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

596×	`associate-+l+_binary64`
549×	`associate-+r+_binary64`
254×	`associate-l_binary64`
242×	`distribute-rgt-in_binary64`
240×	`distribute-rgt-neg-out_binary64`
224×	`distribute-lft-in_binary64`
214×	`distribute-lft-neg-out_binary64`
197×	`associate-r_binary64`
127×	`associate--r+_binary64`
99×	`distribute-neg-in_binary64` `*-commutative_binary64`
92×	`associate--l+_binary64`
83×	`cancel-sign-sub-inv_binary64`
82×	`sub-neg_binary64` `distribute-rgt-neg-in_binary64`
74×	`unsub-neg_binary64`
71×	`distribute-rgt-out_binary64`
65×	`distribute-lft-neg-in_binary64`
51×	`neg-sub0_binary64`
44×	`exp-prod_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
35×	`neg-mul-1_binary64`
34×	`sqr-pow_binary64`
30×	`*-lft-identity_binary64`
29×	`exp-sum_binary64`
28×	`*-rgt-identity_binary64`
27×	`distribute-rgt-out--_binary64` `+-commutative_binary64`
22×	`cube-prod_binary64` `unswap-sqr_binary64`
21×	`distribute-lft-out_binary64`
19×	`exp-diff_binary64`
17×	`associate--r-_binary64`
15×	`log-prod_binary64`
14×	`+-rgt-identity_binary64`
10×	`swap-sqr_binary64`
9×	`mul-1-neg_binary64` `associate--l-_binary64`
8×	`difference-of-squares_binary64`
7×	`sub0-neg_binary64`
6×	`remove-double-neg_binary64` `distribute-neg-out_binary64`
5×	`unpow3_binary64`
4×	`cube-unmult_binary64` `cube-neg_binary64` `sqr-neg_binary64` `pow-sqr_binary64` `associate-/l*_binary64`
3×	`cube-mult_binary64` `div-sub_binary64`
2×	`distribute-lft1-in_binary64` `associate-*r/_binary64`
1×	`unpow1/2_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `associate-/r/_binary64` `associate-/r_binary64`

Counts

66 → 46

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	682
1	209	634
2	555	634
3	1721	634
4	5343	634

prune19.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 352 to 115 computations (67.3% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x)))
2.5b	(-.f64 (.f64 y y) (.f64 x x))
10.6b	(.f64 z (-.f64 (.f64 y y) (*.f64 x x)))
16.7b	(/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x))

rewrite77.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64`
4×	`times-frac_binary64` `associate-r/_binary64` `associate-/r_binary64` `associate-r_binary64`
3×	`distribute-lft-out_binary64` `flip3--_binary64` `flip--_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-l_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/l/_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `difference-of-squares_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64` `diff-log_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

10.0ms	(/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x))
7.0ms	(+.f64 x (/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x)))
7.0ms	(.f64 z (-.f64 (.f64 y y) (*.f64 x x)))
4.0ms	(-.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 1825 to 334 computations (81.7% saved)

series227.0ms (9.9%)

Error

Counts

4 → 60

Calls

4 calls:

89.0ms	(+.f64 x (/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x)))
51.0ms	(/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x))
48.0ms	(.f64 z (-.f64 (.f64 y y) (*.f64 x x)))
26.0ms	(-.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 1356 to 1015 computations (25.1% saved)

simplify85.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

838×	`times-frac_binary64`
537×	`distribute-rgt-in_binary64`
506×	`distribute-lft-in_binary64`
111×	`associate-l_binary64`
104×	`associate-r_binary64`
88×	`associate-/l*_binary64`
85×	`cancel-sign-sub-inv_binary64`
79×	`*-commutative_binary64`
67×	`distribute-rgt-neg-in_binary64`
62×	`div-sub_binary64`
59×	`sub-neg_binary64`
53×	`distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
52×	`associate-*l/_binary64`
44×	`unswap-sqr_binary64`
41×	`sqr-pow_binary64`
38×	`associate-*r/_binary64`
34×	`+-commutative_binary64`
31×	`log-div_binary64` `cube-div_binary64` `neg-sub0_binary64`
30×	`exp-prod_binary64`
29×	`distribute-lft-neg-out_binary64`
27×	`*-rgt-identity_binary64`
26×	`associate-/r*_binary64`
25×	`neg-mul-1_binary64`
24×	`cube-prod_binary64` `associate-/l/_binary64`
22×	`log-prod_binary64`
19×	`*-lft-identity_binary64`
18×	`distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`
16×	`exp-sum_binary64`
15×	`swap-sqr_binary64` `associate-/r/_binary64`
14×	`distribute-rgt-out_binary64`
12×	`/-rgt-identity_binary64` `difference-of-squares_binary64`
10×	`unpow3_binary64`
8×	`cube-mult_binary64` `unsub-neg_binary64` `mul-1-neg_binary64`
6×	`pow-plus_binary64` `exp-diff_binary64` `associate--l+_binary64`
5×	`cube-unmult_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64` `associate-+l+_binary64`
4×	`log-rec_binary64` `associate-+r-_binary64`
3×	`+-rgt-identity_binary64` `*-inverses_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `rgt-mult-inverse_binary64` `associate--r+_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_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` `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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

137 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	2329
1	415	2107
2	1473	1774
3	5154	1774

prune44.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Error

Counts

115 → 3

Compiler

Compiled 934 to 343 computations (63.3% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 z (-.f64 y x)))
0.0b	(sqrt.f64 (+.f64 x (*.f64 z (-.f64 y x))))
0.0b	(sqrt.f64 (+.f64 x (*.f64 z (-.f64 y x))))
0.2b	(.f64 (sqrt.f64 (+.f64 x (.f64 z (-.f64 y x)))) (sqrt.f64 (+.f64 x (*.f64 z (-.f64 y x)))))

rewrite82.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`add-cube-cbrt_binary64` `sqrt-div_binary64` `*-un-lft-identity_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64` `associate-+r+_binary64`
6×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `associate-r_binary64` `cancel-sign-sub-inv_binary64`
5×	`pow-prod-up_binary64`
4×	`rem-sqrt-square_binary64` `frac-times_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64` `sub-neg_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 z (-.f64 y x)))) (sqrt.f64 (+.f64 x (*.f64 z (-.f64 y x)))))
4.0ms	(+.f64 x (*.f64 z (-.f64 y x)))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 z (-.f64 y x))))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 z (-.f64 y x))))

Compiler

Compiled 2575 to 364 computations (85.9% saved)

series214.0ms (9.3%)

Error

Counts

4 → 66

Calls

4 calls:

58.0ms	(sqrt.f64 (+.f64 x (*.f64 z (-.f64 y x))))
57.0ms	(sqrt.f64 (+.f64 x (*.f64 z (-.f64 y x))))
38.0ms	(+.f64 x (*.f64 z (-.f64 y x)))
34.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 z (-.f64 y x)))) (sqrt.f64 (+.f64 x (*.f64 z (-.f64 y x)))))

Compiler

Compiled 3495 to 2345 computations (32.9% saved)

simplify145.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

300×	`cancel-sign-sub-inv_binary64`
278×	`distribute-rgt-in_binary64`
257×	`associate-+l+_binary64`
248×	`distribute-lft-in_binary64`
238×	`associate--r+_binary64`
216×	`associate--l+_binary64`
185×	`associate-r_binary64`
156×	`associate-+r+_binary64`
154×	`associate-l_binary64`
135×	`neg-mul-1_binary64`
124×	`*-commutative_binary64`
105×	`distribute-rgt-neg-in_binary64`
101×	`sub-neg_binary64`
92×	`distribute-lft-neg-in_binary64`
77×	`unswap-sqr_binary64` `associate-/r*_binary64`
68×	`distribute-rgt-out_binary64`
67×	`exp-prod_binary64`
63×	`distribute-neg-in_binary64`
61×	`+-commutative_binary64`
52×	`exp-sum_binary64`
41×	`neg-sub0_binary64`
39×	`sqr-pow_binary64`
34×	`associate-+l-_binary64`
33×	`cube-prod_binary64`
32×	`associate-+r-_binary64`
27×	`log-prod_binary64`
25×	`times-frac_binary64`
21×	`distribute-lft-out_binary64`
20×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64`
19×	`exp-diff_binary64` `rem-sqrt-square_binary64`
18×	`associate-/l/_binary64`
14×	`distribute-rgt-out--_binary64`
12×	`distribute-rgt-neg-out_binary64`
11×	`unpow3_binary64` `pow-plus_binary64`
10×	`*-rgt-identity_binary64`
9×	`*-lft-identity_binary64`
8×	`cube-unmult_binary64` `rem-square-sqrt_binary64` `associate-/l*_binary64` `associate--l-_binary64`
7×	`swap-sqr_binary64`
6×	`cube-mult_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64`
5×	`div-sub_binary64` `pow-sqr_binary64`
4×	`log-pow_binary64` `unpow1/2_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `sqr-neg_binary64` `difference-of-squares_binary64`
2×	`cube-neg_binary64` `distribute-rgt1-in_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `difference-of-sqr--1_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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-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` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

173 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	3514
1	476	3228
2	1500	3066
3	4678	3050
4	4969	3050

prune44.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Error

Counts

129 → 3

Compiler

Compiled 1836 to 539 computations (70.6% saved)

regimes209.0ms (9.1%)

Accuracy

Total 0.0b remaining (31.8%)

Threshold costs 0.0b (31.8%)

Compiler

Compiled 1708 to 1338 computations (21.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64` `*-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	16	10
3	18	10
4	19	10
5	19	10

end1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample592.0ms (25.8%)

Algorithm

1×

intervals

Results

200.0ms	8000×	body	128	valid
19.0ms	591×	body	128	invalid

Compiler

Compiled 57 to 52 computations (8.8% saved)

Iter	Nodes	Cost
0	16	40
1	31	40
2	65	40
3	113	40
4	184	40
5	402	40
6	622	40
7	801	40
8	875	40
9	838	40
10	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	41	10
4	65	10
5	104	10
6	159	10
7	264	10
8	330	10
9	344	10
10	344	10
11	301	10

Iter	Nodes	Cost
0	16	40
1	31	40
2	65	40
3	113	40
4	184	40
5	402	40
6	622	40
7	801	40
8	875	40
9	838	40
10	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	41	10
4	65	10
5	104	10
6	159	10
7	264	10
8	330	10
9	344	10
10	344	10
11	301	10

Details

analyze331.0ms (14.5%)

sample16.0ms (0.7%)

simplify21.0ms (0.9%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

rewrite38.0ms (1.7%)

series65.0ms (2.9%)

simplify52.0ms (2.3%)

prune19.0ms (0.8%)

localize9.0ms (0.4%)

rewrite77.0ms (3.3%)

series227.0ms (9.9%)

simplify85.0ms (3.7%)

prune44.0ms (1.9%)

localize8.0ms (0.4%)

rewrite82.0ms (3.6%)

series214.0ms (9.3%)

simplify145.0ms (6.3%)

prune44.0ms (1.9%)

regimes209.0ms (9.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample592.0ms (25.8%)

Profiling

Iter	Nodes	Cost
0	16	40
1	31	40
2	65	40
3	113	40
4	184	40
5	402	40
6	622	40
7	801	40
8	875	40
9	838	40
10	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	41	10
4	65	10
5	104	10
6	159	10
7	264	10
8	330	10
9	344	10
10	344	10
11	301	10