Details

analyze302.0ms (16.1%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify20.0ms (1.1%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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 (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite52.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64` `cancel-sign-sub-inv_binary64`
10×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-+r+_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `sub-neg_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`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` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 655 to 182 computations (72.2% saved)

series75.0ms (4%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

32.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
31.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 466 to 358 computations (23.2% saved)

simplify129.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

445×	`distribute-rgt-in_binary64`
433×	`distribute-lft-in_binary64`
283×	`distribute-rgt-neg-out_binary64`
267×	`exp-prod_binary64`
260×	`unsub-neg_binary64`
254×	`distribute-lft-neg-out_binary64`
196×	`*-commutative_binary64`
156×	`times-frac_binary64`
150×	`associate--r+_binary64`
145×	`cancel-sign-sub-inv_binary64`
130×	`distribute-rgt-neg-in_binary64`
122×	`distribute-neg-in_binary64`
114×	`associate--l+_binary64`
102×	`sub-neg_binary64`
100×	`exp-sum_binary64`
88×	`neg-sub0_binary64`
86×	`distribute-lft-neg-in_binary64` `associate-l_binary64`
82×	`neg-mul-1_binary64`
80×	`exp-diff_binary64`
74×	`distribute-rgt-out_binary64`
73×	`associate-r_binary64`
65×	`sqr-pow_binary64` `associate-+l+_binary64`
54×	`cube-prod_binary64`
53×	`associate-+r+_binary64`
51×	`distribute-rgt-out--_binary64`
50×	`swap-sqr_binary64`
48×	`div-sub_binary64`
39×	`+-commutative_binary64`
37×	`*-lft-identity_binary64`
34×	`log-prod_binary64` `*-rgt-identity_binary64`
24×	`remove-double-neg_binary64`
20×	`sqr-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `unswap-sqr_binary64`
18×	`associate-+l-_binary64`
16×	`associate--r-_binary64`
15×	`unpow3_binary64` `associate-+r-_binary64`
12×	`+-rgt-identity_binary64`
11×	`cube-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64`
10×	`difference-of-squares_binary64` `associate-/l*_binary64` `associate--l-_binary64`
9×	`exp-neg_binary64`
8×	`sub0-neg_binary64`
7×	`cube-unmult_binary64` `distribute-lft-out--_binary64`
6×	`mul-1-neg_binary64` `pow-sqr_binary64`
5×	`unpow1/2_binary64` `distribute-rgt1-in_binary64`
4×	`cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-lft1-in_binary64` `associate-*r/_binary64`
3×	`pow-plus_binary64` `prod-exp_binary64` `cancel-sign-sub_binary64` `associate-*l/_binary64`
2×	`rec-exp_binary64` `fabs-mul_binary64`
1×	`unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `distribute-frac-neg_binary64` `count-2_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` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `+-lft-identity_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` `distribute-neg-frac_binary64` `associate-/r/_binary64` `associate-/r_binary64`

Counts

82 → 56

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	785
1	243	764
2	775	764
3	2409	764
4	4356	764
5	4986	764
6	4998	764
7	4906	764

prune19.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Error

Counts

57 → 3

Compiler

Compiled 369 to 123 computations (66.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 z y) (neg.f64 (.f64 x y))))
0.0b	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

rewrite34.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-log-exp_binary64`
7×	`sum-log_binary64`
4×	`*-un-lft-identity_binary64` `associate-+r-_binary64`
2×	`neg-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `unsub-neg_binary64` `flip-+_binary64` `neg-sub0_binary64` `+-commutative_binary64`
1×	`distribute-lft-neg-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`

Counts

2 → 32

Calls

2 calls:

6.0ms	(+.f64 x (+.f64 (.f64 z y) (neg.f64 (.f64 x y))))
4.0ms	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

Compiler

Compiled 563 to 117 computations (79.2% saved)

series65.0ms (3.5%)

Error

Counts

2 → 33

Calls

2 calls:

31.0ms	(+.f64 x (+.f64 (.f64 z y) (neg.f64 (.f64 x y))))
25.0ms	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

Compiler

Compiled 479 to 365 computations (23.8% saved)

simplify80.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

661×	`neg-mul-1_binary64`
522×	`distribute-rgt-in_binary64`
446×	`distribute-lft-in_binary64`
413×	`unsub-neg_binary64`
358×	`distribute-rgt-neg-out_binary64`
335×	`distribute-lft-neg-out_binary64`
286×	`times-frac_binary64`
209×	`cancel-sign-sub-inv_binary64`
185×	`*-commutative_binary64`
155×	`sub-neg_binary64`
119×	`distribute-neg-in_binary64`
102×	`neg-sub0_binary64`
98×	`associate-+l+_binary64`
93×	`associate-+r+_binary64`
89×	`distribute-neg-out_binary64`
86×	`distribute-rgt-neg-in_binary64` `distribute-rgt-out_binary64`
84×	`associate-l_binary64` `associate-r_binary64`
71×	`exp-prod_binary64`
69×	`exp-sum_binary64`
67×	`sqr-pow_binary64`
66×	`distribute-lft-neg-in_binary64`
53×	`exp-diff_binary64` `cube-prod_binary64`
49×	`+-commutative_binary64`
48×	`associate--r+_binary64`
36×	`associate--l+_binary64`
34×	`associate-+l-_binary64`
32×	`mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64`
30×	`div-sub_binary64` `remove-double-neg_binary64`
29×	`distribute-rgt-out--_binary64`
26×	`distribute-lft-out_binary64`
25×	`swap-sqr_binary64`
21×	`cube-neg_binary64`
20×	`log-prod_binary64` `sqr-neg_binary64`
18×	`sub0-neg_binary64`
12×	`unpow3_binary64` `associate-+r-_binary64`
11×	`pow-sqr_binary64`
10×	`exp-neg_binary64` `cube-mult_binary64` `associate--l-_binary64`
9×	`distribute-lft-out--_binary64` `associate--r-_binary64`
8×	`+-rgt-identity_binary64`
6×	`--rgt-identity_binary64` `+-lft-identity_binary64` `associate-/l*_binary64`
5×	`prod-exp_binary64` `mul-1-neg_binary64` `distribute-frac-neg_binary64`
4×	`cancel-sign-sub_binary64`
3×	`pow-plus_binary64` `cube-unmult_binary64` `associate-/r_binary64` `associate-r/_binary64`
2×	`div-exp_binary64` `associate-*l/_binary64`
1×	`unpow1/2_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_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` `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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64`

Counts

65 → 57

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	675
1	225	643
2	875	635
3	2791	635
4	4269	635
5	5313	635

prune21.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	57	3	60

Error

Counts

60 → 3

Compiler

Compiled 333 to 98 computations (70.6% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (sqrt.f64 z) (sqrt.f64 x))
0.0b	(+.f64 (sqrt.f64 x) (sqrt.f64 z))
0.1b	(*.f64 y (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
0.1b	(.f64 (.f64 y (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (-.f64 (sqrt.f64 z) (sqrt.f64 x)))

rewrite89.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
25×	`sqrt-prod_binary64`
18×	`cancel-sign-sub-inv_binary64`
14×	`associate-r_binary64`
13×	`add-cube-cbrt_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
8×	`add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `difference-of-squares_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
3×	`sub-neg_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`
1×	`unswap-sqr_binary64` `sum-log_binary64` `+-commutative_binary64` `diff-log_binary64`

Counts

4 → 106

Calls

4 calls:

16.0ms	(.f64 (.f64 y (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (-.f64 (sqrt.f64 z) (sqrt.f64 x)))
8.0ms	(*.f64 y (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
6.0ms	(-.f64 (sqrt.f64 z) (sqrt.f64 x))
5.0ms	(+.f64 (sqrt.f64 x) (sqrt.f64 z))

Compiler

Compiled 2262 to 454 computations (79.9% saved)

series104.0ms (5.6%)

Error

Counts

4 → 30

Calls

4 calls:

46.0ms	(.f64 (.f64 y (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (-.f64 (sqrt.f64 z) (sqrt.f64 x)))
28.0ms	(*.f64 y (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
12.0ms	(-.f64 (sqrt.f64 z) (sqrt.f64 x))
12.0ms	(+.f64 (sqrt.f64 x) (sqrt.f64 z))

Compiler

Compiled 1063 to 752 computations (29.3% saved)

simplify127.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

370×	`associate-+l+_binary64`
367×	`exp-prod_binary64`
290×	`associate-l_binary64`
226×	`exp-diff_binary64`
223×	`associate-r_binary64`
174×	`+-commutative_binary64`
156×	`unsub-neg_binary64`
155×	`neg-sub0_binary64`
152×	`*-commutative_binary64`
151×	`neg-mul-1_binary64`
150×	`distribute-rgt-in_binary64`
146×	`distribute-rgt-neg-in_binary64`
142×	`distribute-lft-in_binary64`
123×	`distribute-rgt-neg-out_binary64`
122×	`distribute-lft-neg-in_binary64`
109×	`distribute-lft-neg-out_binary64`
89×	`exp-sum_binary64` `sub-neg_binary64`
84×	`cancel-sign-sub-inv_binary64`
83×	`sqr-pow_binary64`
72×	`associate-+r+_binary64`
63×	`associate-+l-_binary64`
62×	`associate-+r-_binary64`
60×	`*-lft-identity_binary64`
58×	`associate--r+_binary64`
48×	`distribute-rgt-out_binary64`
37×	`*-rgt-identity_binary64`
35×	`unswap-sqr_binary64`
34×	`distribute-neg-in_binary64`
28×	`log-prod_binary64`
26×	`cube-prod_binary64`
25×	`swap-sqr_binary64`
22×	`distribute-lft-out_binary64`
17×	`distribute-neg-out_binary64`
16×	`distribute-rgt-out--_binary64` `associate-/l*_binary64`
15×	`exp-neg_binary64`
14×	`+-rgt-identity_binary64`
13×	`pow-sqr_binary64`
12×	`difference-of-squares_binary64`
11×	`div-sub_binary64` `sub0-neg_binary64` `associate--l+_binary64`
7×	`unpow3_binary64` `unpow1/2_binary64` `cube-unmult_binary64` `fabs-mul_binary64`
5×	`rem-sqrt-square_binary64` `associate--r-_binary64`
4×	`cube-mult_binary64`
3×	`rem-square-sqrt_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`count-2_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `fabs-sqr_binary64` `mul-1-neg_binary64` `cancel-sign-sub_binary64` `associate-/r/_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_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` `e-exp-1_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` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--l-_binary64`

Counts

136 → 104

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	2172
1	443	1993
2	1742	1993
3	2590	1991
4	4740	1991
5	5169	1991

prune31.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	104	3	107

Error

Counts

107 → 3

Compiler

Compiled 1195 to 265 computations (77.8% saved)

regimes161.0ms (8.6%)

Accuracy

Total 0.0b remaining (36%)

Threshold costs 0.0b (36%)

Compiler

Compiled 1212 to 990 computations (18.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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)

sample520.0ms (27.8%)

Algorithm

1×

intervals

Results

196.0ms	8000×	body	128	valid
12.0ms	541×	body	128	invalid

Compiler

Compiled 47 to 40 computations (14.9% 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

analyze302.0ms (16.1%)

sample18.0ms (1%)

simplify20.0ms (1.1%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

rewrite52.0ms (2.8%)

series75.0ms (4%)

simplify129.0ms (6.9%)

prune19.0ms (1%)

localize6.0ms (0.3%)

rewrite34.0ms (1.8%)

series65.0ms (3.5%)

simplify80.0ms (4.3%)

prune21.0ms (1.1%)

localize9.0ms (0.5%)

rewrite89.0ms (4.7%)

series104.0ms (5.6%)

simplify127.0ms (6.8%)

prune31.0ms (1.6%)

regimes161.0ms (8.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample520.0ms (27.8%)

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