Details

analyze74.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

675×	`div-sub_binary64`
511×	`sub-neg_binary64`
417×	`times-frac_binary64`
411×	`associate-/l*_binary64`
366×	`associate-/r*_binary64`
345×	`associate-l_binary64`
253×	`exp-prod_binary64`
221×	`exp-sum_binary64`
200×	`distribute-rgt-in_binary64`
185×	`exp-diff_binary64`
184×	`associate-/l/_binary64`
173×	`associate-/r/_binary64`
167×	`sqr-pow_binary64`
153×	`associate-*l/_binary64`
144×	`unsub-neg_binary64`
142×	`distribute-lft-in_binary64`
125×	`associate-*r/_binary64`
113×	`*-commutative_binary64`
87×	`associate-r_binary64`
84×	`neg-mul-1_binary64`
80×	`*-rgt-identity_binary64`
74×	`*-lft-identity_binary64`
67×	`neg-sub0_binary64`
64×	`pow-sqr_binary64`
47×	`distribute-rgt-neg-out_binary64`
46×	`remove-double-div_binary64`
42×	`/-rgt-identity_binary64`
41×	`cancel-sign-sub-inv_binary64`
36×	`distribute-neg-frac_binary64`
35×	`cube-prod_binary64` `rem-sqrt-square_binary64`
29×	`distribute-rgt-neg-in_binary64`
28×	`unswap-sqr_binary64`
27×	`distribute-frac-neg_binary64`
24×	`distribute-neg-in_binary64`
21×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64` `associate--r+_binary64`
20×	`cube-unmult_binary64`
19×	`pow-plus_binary64`
17×	`exp-lft-sqr_binary64`
14×	`unpow3_binary64` `exp-sqrt_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
12×	`div0_binary64` `associate-+r-_binary64`
11×	`cube-div_binary64` `remove-double-neg_binary64`
10×	`associate-+r+_binary64`
9×	`unpow1/2_binary64`
8×	`+-commutative_binary64`
7×	`cube-mult_binary64` `sub0-neg_binary64` `associate--l+_binary64`
6×	`prod-exp_binary64` `exp-neg_binary64` `associate-+l-_binary64`
5×	`associate-+l+_binary64`
4×	`associate--r-_binary64` `associate--l-_binary64`
2×	`rec-exp_binary64` `difference-of-sqr--1_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `swap-sqr_binary64` `distribute-rgt1-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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_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-square-sqrt_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	19	9
2	45	9
3	86	9
4	180	9
5	392	9
6	1228	9
7	3373	9
8	4328	9
9	5037	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50%	0.4%	49.6%	10
50.2%	0.2%	49.6%	11
50.2%	0.1%	49.7%	12
50.2%	0%	49.8%	13
50.2%	0%	49.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify59.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

675×	`div-sub_binary64`
511×	`sub-neg_binary64`
417×	`times-frac_binary64`
411×	`associate-/l*_binary64`
366×	`associate-/r*_binary64`
345×	`associate-l_binary64`
253×	`exp-prod_binary64`
221×	`exp-sum_binary64`
200×	`distribute-rgt-in_binary64`
185×	`exp-diff_binary64`
184×	`associate-/l/_binary64`
173×	`associate-/r/_binary64`
167×	`sqr-pow_binary64`
153×	`associate-*l/_binary64`
144×	`unsub-neg_binary64`
142×	`distribute-lft-in_binary64`
125×	`associate-*r/_binary64`
113×	`*-commutative_binary64`
87×	`associate-r_binary64`
84×	`neg-mul-1_binary64`
80×	`*-rgt-identity_binary64`
74×	`*-lft-identity_binary64`
67×	`neg-sub0_binary64`
64×	`pow-sqr_binary64`
47×	`distribute-rgt-neg-out_binary64`
46×	`remove-double-div_binary64`
42×	`/-rgt-identity_binary64`
41×	`cancel-sign-sub-inv_binary64`
36×	`distribute-neg-frac_binary64`
35×	`cube-prod_binary64` `rem-sqrt-square_binary64`
29×	`distribute-rgt-neg-in_binary64`
28×	`unswap-sqr_binary64`
27×	`distribute-frac-neg_binary64`
24×	`distribute-neg-in_binary64`
21×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64` `associate--r+_binary64`
20×	`cube-unmult_binary64`
19×	`pow-plus_binary64`
17×	`exp-lft-sqr_binary64`
14×	`unpow3_binary64` `exp-sqrt_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
12×	`div0_binary64` `associate-+r-_binary64`
11×	`cube-div_binary64` `remove-double-neg_binary64`
10×	`associate-+r+_binary64`
9×	`unpow1/2_binary64`
8×	`+-commutative_binary64`
7×	`cube-mult_binary64` `sub0-neg_binary64` `associate--l+_binary64`
6×	`prod-exp_binary64` `exp-neg_binary64` `associate-+l-_binary64`
5×	`associate-+l+_binary64`
4×	`associate--r-_binary64` `associate--l-_binary64`
2×	`rec-exp_binary64` `difference-of-sqr--1_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `swap-sqr_binary64` `distribute-rgt1-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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_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-square-sqrt_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	19	9
2	45	9
3	86	9
4	180	9
5	392	9
6	1228	9
7	3373	9
8	4328	9
9	5037	9

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 1)
0.0b	(exp.f64 (-.f64 (*.f64 x x) 1))

rewrite39.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `add-log-exp_binary64`
6×	`exp-prod_binary64` `cancel-sign-sub-inv_binary64`
5×	`add-cube-cbrt_binary64`
4×	`difference-of-squares_binary64` `exp-sum_binary64`
2×	`pow1_binary64` `difference-of-sqr-1_binary64` `sub-neg_binary64` `diff-log_binary64` `rem-exp-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
1×	`exp-diff_binary64` `flip3--_binary64` `flip--_binary64`

Counts

2 → 37

Calls

2 calls:

6.0ms	(exp.f64 (-.f64 (*.f64 x x) 1))
4.0ms	(-.f64 (*.f64 x x) 1)

Compiler

Compiled 402 to 249 computations (38.1% saved)

series24.0ms (1.7%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

10.0ms	(exp.f64 (-.f64 (*.f64 x x) 1))
9.0ms	(-.f64 (*.f64 x x) 1)

Compiler

Compiled 192 to 184 computations (4.2% saved)

simplify87.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

603×	`distribute-rgt-in_binary64`
564×	`distribute-lft-in_binary64`
323×	`unswap-sqr_binary64`
205×	`associate-r_binary64`
203×	`associate-l_binary64`
174×	`distribute-rgt-out_binary64`
157×	`distribute-lft-out_binary64`
139×	`exp-prod_binary64`
119×	`associate-/l*_binary64`
82×	`associate-*l/_binary64`
81×	`log-prod_binary64`
73×	`log-pow_binary64`
61×	`*-commutative_binary64`
60×	`sqr-pow_binary64` `associate-*r/_binary64`
52×	`exp-sum_binary64`
43×	`associate-+l+_binary64`
34×	`prod-exp_binary64`
33×	`cube-prod_binary64`
32×	`associate-+r+_binary64` `+-commutative_binary64`
30×	`cancel-sign-sub-inv_binary64`
26×	`div-exp_binary64` `sub-neg_binary64`
25×	`unpow3_binary64`
22×	`exp-diff_binary64`
20×	`pow-sqr_binary64`
18×	`distribute-rgt1-in_binary64`
17×	`distribute-neg-in_binary64` `associate-/r*_binary64`
15×	`log-div_binary64` `exp-to-pow_binary64`
14×	`mul-1-neg_binary64`
13×	`*-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
12×	`pow-plus_binary64` `*-lft-identity_binary64` `swap-sqr_binary64`
11×	`distribute-lft-neg-out_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64`
9×	`unsub-neg_binary64` `distribute-lft-neg-in_binary64`
8×	`neg-sub0_binary64` `distribute-rgt-neg-out_binary64` `associate-/r/_binary64`
7×	`difference-of-sqr-1_binary64`
6×	`cube-unmult_binary64` `cube-mult_binary64` `associate-+l-_binary64`
5×	`neg-mul-1_binary64` `difference-of-sqr--1_binary64` `associate-+r-_binary64`
4×	`cube-div_binary64` `count-2_binary64` `associate--r+_binary64`
3×	`unpow1/2_binary64` `exp-lft-sqr_binary64` `rem-sqrt-square_binary64` `div-sub_binary64`
2×	`log-rec_binary64` `exp-neg_binary64` `distribute-frac-neg_binary64`
1×	`log-E_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-3cbrt-lft_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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_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` `rem-square-sqrt_binary64` `times-frac_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-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

49 → 39

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	497
1	139	459
2	363	447
3	1321	442
4	4614	442
5	4984	442
6	4929	442

prune17.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Error

0.0b

Counts

40 → 2

Compiler

Compiled 280 to 173 computations (38.2% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (+.f64 x 1))
0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x (sqrt.f64 1)))

rewrite58.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64` `exp-prod_binary64`
7×	`unpow-prod-up_binary64` `pow-unpow_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`sqrt-prod_binary64` `pow-pow_binary64` `add-log-exp_binary64`
4×	`unpow-prod-down_binary64`
3×	`difference-of-squares_binary64` `pow1_binary64`
2×	`exp-sum_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `rem-exp-log_binary64`
1×	`sub-neg_binary64` `distribute-lft-out--_binary64` `pow-sub_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `sum-log_binary64`

Counts

2 → 48

Calls

2 calls:

9.0ms	(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x (sqrt.f64 1)))
4.0ms	(exp.f64 (+.f64 x 1))

Compiler

Compiled 676 to 549 computations (18.8% saved)

series31.0ms (2.2%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

13.0ms	(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x (sqrt.f64 1)))
9.0ms	(exp.f64 (+.f64 x 1))

Compiler

Compiled 337 to 283 computations (16% saved)

simplify101.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

451×	`*-commutative_binary64`
381×	`exp-sum_binary64`
246×	`exp-prod_binary64`
228×	`unswap-sqr_binary64`
216×	`associate-l_binary64`
202×	`associate-r_binary64`
194×	`associate-+l+_binary64`
192×	`distribute-rgt-in_binary64`
176×	`distribute-rgt-out_binary64`
167×	`distribute-lft-in_binary64`
154×	`log-pow_binary64`
152×	`associate-+r+_binary64`
150×	`sqr-pow_binary64`
114×	`distribute-lft-out_binary64`
102×	`associate-/l*_binary64`
97×	`log-prod_binary64`
77×	`+-commutative_binary64`
76×	`pow-sqr_binary64`
71×	`distribute-rgt-neg-out_binary64`
62×	`exp-diff_binary64`
61×	`associate-/l/_binary64`
53×	`distribute-lft-neg-out_binary64`
47×	`prod-exp_binary64`
45×	`associate-*r/_binary64`
44×	`pow-plus_binary64`
39×	`associate-/r*_binary64`
34×	`exp-to-pow_binary64` `unsub-neg_binary64`
31×	`distribute-neg-in_binary64`
28×	`cube-prod_binary64`
24×	`associate-*l/_binary64` `associate--r+_binary64`
23×	`cancel-sign-sub-inv_binary64`
22×	`cube-unmult_binary64` `div-sub_binary64` `associate-/r/_binary64`
21×	`sub-neg_binary64`
20×	`exp-neg_binary64` `distribute-rgt1-in_binary64`
19×	`log-div_binary64`
18×	`neg-sub0_binary64`
17×	`unpow3_binary64` `*-rgt-identity_binary64`
16×	`distribute-rgt-neg-in_binary64` `count-2_binary64`
15×	`*-lft-identity_binary64` `distribute-frac-neg_binary64`
14×	`neg-mul-1_binary64`
13×	`distribute-lft-neg-in_binary64`
12×	`swap-sqr_binary64`
11×	`associate-+l-_binary64`
9×	`distribute-lft1-in_binary64`
8×	`associate-+r-_binary64`
7×	`rem-sqrt-square_binary64`
5×	`pow-base-1_binary64` `mul-1-neg_binary64`
4×	`log-rec_binary64` `rec-exp_binary64` `cube-mult_binary64` `distribute-neg-out_binary64` `associate--l+_binary64`
3×	`exp-sqrt_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `rem-log-exp_binary64` `times-frac_binary64` `associate--r-_binary64`
1×	`log-E_binary64` `unpow2_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `e-exp-1_binary64` `1-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

60 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	857
1	238	811
2	642	797
3	1683	775
4	3966	775
5	4963	775
6	4870	775

prune29.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	45	2	47

Error

Counts

47 → 2

Compiler

Compiled 440 to 336 computations (23.6% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (+.f64 -1 x))
0.0b	(*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)) (exp.f64 (+.f64 -1 x)))
0.0b	(pow.f64 (exp.f64 x) (+.f64 -1 x))

rewrite77.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`exp-prod_binary64`
8×	`associate-l_binary64`
7×	`unpow-prod-down_binary64`
6×	`add-log-exp_binary64`
5×	`add-cbrt-cube_binary64`
4×	`pow-unpow_binary64` `pow1_binary64` `pow-pow_binary64` `add-exp-log_binary64` `associate-r_binary64`
3×	`distribute-lft-out_binary64` `sqr-pow_binary64` `prod-exp_binary64` `unswap-sqr_binary64`
2×	`unpow-prod-up_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `pow-prod-down_binary64` `exp-sum_binary64` `rem-exp-log_binary64`
1×	`cbrt-unprod_binary64` `*-commutative_binary64` `sum-log_binary64`

Counts

3 → 65

Calls

3 calls:

10.0ms	(*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)) (exp.f64 (+.f64 -1 x)))
5.0ms	(pow.f64 (exp.f64 x) (+.f64 -1 x))
4.0ms	(exp.f64 (+.f64 -1 x))

Compiler

Compiled 1085 to 726 computations (33.1% saved)

series49.0ms (3.5%)

Error

Counts

3 → 18

Calls

3 calls:

15.0ms	(*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)) (exp.f64 (+.f64 -1 x)))
9.0ms	(pow.f64 (exp.f64 x) (+.f64 -1 x))
8.0ms	(exp.f64 (+.f64 -1 x))

Compiler

Compiled 575 to 480 computations (16.5% saved)

simplify94.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

390×	`distribute-rgt-in_binary64`
375×	`unswap-sqr_binary64`
263×	`exp-prod_binary64`
235×	`*-commutative_binary64`
170×	`log-prod_binary64`
166×	`cancel-sign-sub-inv_binary64`
158×	`sqr-pow_binary64`
128×	`distribute-rgt-out_binary64`
112×	`associate-*r/_binary64`
109×	`associate-+l+_binary64`
104×	`distribute-lft-out_binary64`
100×	`sub-neg_binary64`
97×	`associate-l/_binary64` `associate-l*_binary64`
95×	`associate-r_binary64`
94×	`exp-sum_binary64`
77×	`associate-+r+_binary64`
62×	`+-commutative_binary64`
59×	`cube-prod_binary64` `distribute-neg-in_binary64`
56×	`pow-sqr_binary64`
53×	`distribute-lft-in_binary64`
48×	`log-div_binary64`
45×	`pow-plus_binary64`
42×	`distribute-rgt-neg-in_binary64`
41×	`swap-sqr_binary64`
38×	`log-pow_binary64` `associate-/l*_binary64`
36×	`unpow3_binary64`
33×	`unsub-neg_binary64`
32×	`distribute-lft-neg-in_binary64`
29×	`exp-to-pow_binary64`
27×	`-rgt-identity_binary64` `-lft-identity_binary64`
26×	`prod-exp_binary64`
25×	`div-sub_binary64`
24×	`cube-div_binary64` `neg-sub0_binary64`
22×	`associate-+l-_binary64`
21×	`associate--r+_binary64`
20×	`exp-diff_binary64` `distribute-rgt1-in_binary64`
18×	`neg-mul-1_binary64`
17×	`associate-+r-_binary64`
16×	`associate--l+_binary64`
15×	`times-frac_binary64` `distribute-rgt-out--_binary64`
13×	`distribute-lft-neg-out_binary64`
10×	`cube-unmult_binary64` `cube-mult_binary64` `associate-/l/_binary64`
9×	`distribute-lft1-in_binary64`
7×	`mul-1-neg_binary64`
6×	`unpow1/2_binary64` `div-exp_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
5×	`log-rec_binary64` `pow-base-1_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `associate-/r*_binary64`
4×	`exp-neg_binary64` `remove-double-neg_binary64`
3×	`rem-log-exp_binary64` `associate-/r/_binary64`
2×	`unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `count-2_binary64`
1×	`log-E_binary64` `unpow2_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `difference-of-sqr-1_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`

Counts

83 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1252
1	297	1167
2	893	1121
3	2190	1022
4	4513	1022
5	4945	1022

prune46.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	66	2	68

Error

Counts

68 → 2

Compiler

Compiled 898 to 590 computations (34.3% saved)

regimes96.0ms (6.8%)

Accuracy

Total 0.0b remaining (60.7%)

Threshold costs 0.0b (60.7%)

Compiler

Compiled 611 to 556 computations (9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64 sub-neg_binary64 +-commutative_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 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	6	9
1	11	9
2	12	9
3	10	9

end1.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

sample502.0ms (35.3%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 34 to 33 computations (2.9% saved)

Details

analyze74.0ms (5.2%)

sample14.0ms (1%)

simplify59.0ms (4.1%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

rewrite39.0ms (2.8%)

series24.0ms (1.7%)

simplify87.0ms (6.1%)

prune17.0ms (1.2%)

localize7.0ms (0.5%)

rewrite58.0ms (4%)

series31.0ms (2.2%)

simplify101.0ms (7.1%)

prune29.0ms (2%)

localize7.0ms (0.5%)

rewrite77.0ms (5.4%)

series49.0ms (3.5%)

simplify94.0ms (6.6%)

prune46.0ms (3.3%)

regimes96.0ms (6.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample502.0ms (35.3%)

Profiling