Details

analyze30.0ms (0.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

32×	`distribute-rgt-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`
25×	`sub-neg_binary64`
17×	`div-sub_binary64`
16×	`distribute-lft-neg-out_binary64`
15×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
14×	`associate-/l*_binary64`
13×	`neg-mul-1_binary64` `distribute-rgt-neg-out_binary64` `associate-/r*_binary64`
12×	`associate--r+_binary64`
10×	`distribute-neg-frac_binary64`
9×	`neg-sub0_binary64`
8×	`distribute-neg-in_binary64` `distribute-lft-neg-in_binary64`
7×	`associate-l_binary64` `*-commutative_binary64`
6×	`-lft-identity_binary64` `associate-l/_binary64` `associate-r_binary64` `associate--r-_binary64` `+-commutative_binary64`
5×	`sub0-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-*r/_binary64` `associate-+l-_binary64`
3×	`*-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--l+_binary64` `associate-+l+_binary64`
2×	`/-rgt-identity_binary64` `remove-double-neg_binary64` `div0_binary64` `distribute-rgt1-in_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_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` `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` `mul-1-neg_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms	95×	body	1024	valid
4.0ms	49×	body	512	valid
2.0ms	92×	body	128	valid
1.0ms	16×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

32×	`distribute-rgt-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`
25×	`sub-neg_binary64`
17×	`div-sub_binary64`
16×	`distribute-lft-neg-out_binary64`
15×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
14×	`associate-/l*_binary64`
13×	`neg-mul-1_binary64` `distribute-rgt-neg-out_binary64` `associate-/r*_binary64`
12×	`associate--r+_binary64`
10×	`distribute-neg-frac_binary64`
9×	`neg-sub0_binary64`
8×	`distribute-neg-in_binary64` `distribute-lft-neg-in_binary64`
7×	`associate-l_binary64` `*-commutative_binary64`
6×	`-lft-identity_binary64` `associate-l/_binary64` `associate-r_binary64` `associate--r-_binary64` `+-commutative_binary64`
5×	`sub0-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-*r/_binary64` `associate-+l-_binary64`
3×	`*-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--l+_binary64` `associate-+l+_binary64`
2×	`/-rgt-identity_binary64` `remove-double-neg_binary64` `div0_binary64` `distribute-rgt1-in_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_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` `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` `mul-1-neg_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

prune2.0ms (0%)

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

42.0b

Counts

1 → 1

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 x)
0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.8b	(-.f64 (exp.f64 x) 1)

rewrite100.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

41.7b

Rules

37×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`associate-/l*_binary64`
6×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
3×	`pow1_binary64` `cancel-sign-sub-inv_binary64` `associate-/r*_binary64` `exp-prod_binary64`
2×	`flip3--_binary64` `flip--_binary64` `associate-/l/_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `rem-exp-log_binary64`

Counts

3 → 75

Calls

3 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0ms	(-.f64 (exp.f64 x) 1)
1.0ms	(exp.f64 x)

Compiler

Compiled 862 to 481 computations (44.2% saved)

series39.0ms (0.7%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
7.0ms	(-.f64 (exp.f64 x) 1)
6.0ms	(exp.f64 x)

Compiler

Compiled 342 to 278 computations (18.7% saved)

simplify100.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

613×	`distribute-rgt-in_binary64`
582×	`distribute-lft-in_binary64`
295×	`associate-/l/_binary64`
217×	`div-sub_binary64`
113×	`exp-prod_binary64`
91×	`distribute-lft-neg-out_binary64` `associate-+l+_binary64`
86×	`times-frac_binary64`
84×	`associate-/l*_binary64`
83×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64`
82×	`associate-l_binary64`
78×	`associate-r_binary64`
77×	`associate-+r+_binary64`
70×	`log-prod_binary64` `associate-/r*_binary64`
65×	`log-div_binary64`
58×	`*-commutative_binary64`
57×	`distribute-lft-out_binary64` `+-commutative_binary64`
52×	`distribute-frac-neg_binary64`
50×	`associate-*l/_binary64`
49×	`unsub-neg_binary64`
48×	`sub-neg_binary64`
36×	`associate-/r/_binary64`
35×	`exp-diff_binary64`
32×	`sqr-pow_binary64` `associate-*r/_binary64`
31×	`exp-sum_binary64`
28×	`distribute-neg-frac_binary64`
26×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
23×	`unswap-sqr_binary64`
22×	`cube-prod_binary64` `neg-sub0_binary64` `distribute-neg-in_binary64`
19×	`unpow3_binary64` `distribute-lft-neg-in_binary64`
16×	`neg-mul-1_binary64`
15×	`distribute-rgt1-in_binary64`
14×	`*-lft-identity_binary64`
13×	`/-rgt-identity_binary64` `*-rgt-identity_binary64`
12×	`log-rec_binary64` `mul-1-neg_binary64`
11×	`cube-div_binary64`
10×	`log-pow_binary64`
8×	`swap-sqr_binary64`
7×	`pow-plus_binary64`
5×	`cube-unmult_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
4×	`exp-to-pow_binary64` `prod-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `cancel-sign-sub_binary64` `associate--r+_binary64`
3×	`unpow1/2_binary64` `div-exp_binary64` `rec-exp_binary64` `cube-mult_binary64` `difference-of-sqr-1_binary64` `count-2_binary64`
2×	`remove-double-neg_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
1×	`log-E_binary64` `unpow2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `div0_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `distribute-neg-out_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` `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` `e-exp-1_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` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`

Counts

93 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1249
1	271	1196
2	598	1181
3	1571	1175
4	4748	1175
5	4925	1175

prune29.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	2	46

Error

0.0b

Counts

46 → 2

Compiler

Compiled 372 to 228 computations (38.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.0b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.3b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.4b	(*.f64 x 1/24)

rewrite83.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`associate-l_binary64` `associate-r_binary64`
6×	`add-log-exp_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`sum-log_binary64` `+-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

5.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
5.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1414 to 1092 computations (22.8% saved)

series52.0ms (1%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

12.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
11.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
9.0ms	(+.f64 1/6 (*.f64 x 1/24))
6.0ms	(*.f64 x 1/24)

Compiler

Compiled 519 to 444 computations (14.5% saved)

simplify112.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-rgt-in_binary64`
755×	`distribute-lft-in_binary64`
285×	`*-commutative_binary64`
254×	`sub-neg_binary64`
163×	`associate-l_binary64`
148×	`sqr-pow_binary64`
138×	`associate--r+_binary64`
132×	`associate-r_binary64`
130×	`unswap-sqr_binary64`
119×	`distribute-rgt-neg-in_binary64`
117×	`neg-mul-1_binary64`
113×	`neg-sub0_binary64`
111×	`distribute-neg-in_binary64`
103×	`unsub-neg_binary64`
102×	`exp-prod_binary64`
97×	`distribute-lft-neg-in_binary64`
82×	`associate-+l+_binary64`
81×	`cancel-sign-sub-inv_binary64`
80×	`associate-+r+_binary64`
60×	`*-lft-identity_binary64`
58×	`*-rgt-identity_binary64`
49×	`exp-sum_binary64`
48×	`distribute-rgt-out_binary64`
39×	`pow-sqr_binary64`
32×	`swap-sqr_binary64`
28×	`+-commutative_binary64`
27×	`distribute-lft-neg-out_binary64`
23×	`log-prod_binary64`
20×	`distribute-rgt-neg-out_binary64`
18×	`cube-prod_binary64` `associate-+l-_binary64`
15×	`associate--l+_binary64`
12×	`unpow1/2_binary64`
10×	`sub0-neg_binary64`
9×	`distribute-rgt-out--_binary64`
7×	`unpow3_binary64` `associate-+r-_binary64`
5×	`pow-plus_binary64` `+-rgt-identity_binary64`
4×	`log-pow_binary64` `rem-sqrt-square_binary64` `associate-/l*_binary64`
3×	`cube-unmult_binary64` `cube-mult_binary64`
2×	`prod-exp_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_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-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-diff_binary64` `exp-neg_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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

93 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1188
1	315	1089
2	1058	1083
3	3490	1083
4	4315	1083
5	4984	1083
6	4884	1083

prune49.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	67	2	69

Error

0.0b

Counts

69 → 2

Compiler

Compiled 1055 to 815 computations (22.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
3.8b	(+.f64 -1 (pow.f64 (exp.f64 x) 2))

rewrite92.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
12×	`distribute-lft-out_binary64`
8×	`add-log-exp_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `associate-/l_binary64` `associate-/r_binary64` `pow-pow_binary64`
3×	`unpow-prod-down_binary64` `pow-unpow_binary64` `exp-prod_binary64`
2×	`sum-log_binary64` `+-commutative_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 85

Calls

4 calls:

10.0ms	(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
5.0ms	(+.f64 -1 (pow.f64 (exp.f64 x) 2))
4.0ms	(+.f64 (exp.f64 x) 1)
3.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 1586 to 1058 computations (33.3% saved)

series54.0ms (1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

13.0ms	(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
12.0ms	(+.f64 -1 (pow.f64 (exp.f64 x) 2))
8.0ms	(pow.f64 (exp.f64 x) 2)
7.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 750 to 578 computations (22.9% saved)

simplify102.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

474×	`div-sub_binary64`
361×	`associate-l_binary64`
312×	`associate-r_binary64`
220×	`times-frac_binary64`
214×	`distribute-rgt-in_binary64`
197×	`associate-/l*_binary64`
183×	`distribute-lft-in_binary64`
172×	`associate-+l+_binary64`
148×	`exp-prod_binary64`
132×	`associate-+r+_binary64`
123×	`log-prod_binary64`
113×	`cube-prod_binary64`
109×	`*-commutative_binary64`
77×	`associate-/r*_binary64`
62×	`+-commutative_binary64`
61×	`associate-*l/_binary64`
60×	`exp-sum_binary64`
55×	`associate-/l/_binary64`
46×	`cancel-sign-sub-inv_binary64` `distribute-rgt-out_binary64`
43×	`sqr-pow_binary64` `associate-*r/_binary64`
38×	`unswap-sqr_binary64`
33×	`log-div_binary64` `sub-neg_binary64` `associate-/r/_binary64`
31×	`cube-div_binary64`
25×	`prod-exp_binary64` `distribute-lft-out_binary64`
24×	`associate-+l-_binary64`
23×	`distribute-rgt-neg-in_binary64`
22×	`exp-diff_binary64`
19×	`associate-+r-_binary64`
18×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
16×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64`
15×	`pow-plus_binary64` `rem-sqrt-square_binary64`
14×	`log-pow_binary64`
13×	`*-rgt-identity_binary64`
12×	`unpow3_binary64`
11×	`neg-sub0_binary64`
10×	`unsub-neg_binary64`
9×	`neg-mul-1_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64`
8×	`*-lft-identity_binary64` `distribute-neg-in_binary64`
7×	`log-rec_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64`
6×	`unpow1/2_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`
5×	`unpow2_binary64` `unpow1_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64`
4×	`cube-neg_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64`
3×	`*-inverses_binary64` `difference-of-sqr--1_binary64` `associate--r-_binary64`
2×	`rec-exp_binary64` `distribute-lft1-in_binary64`
1×	`exp-to-pow_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `difference-of-squares_binary64` `distribute-neg-out_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` `pow-base-0_binary64` `unpow1/3_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` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `count-2_binary64`

Counts

109 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	1848
1	345	1704
2	867	1537
3	3551	1536
4	5092	1536

prune53.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	3	80

Error

0.0b

Counts

80 → 3

Compiler

Compiled 1167 to 757 computations (35.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
0.0b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
3.8b	(-.f64 (pow.f64 (exp.f64 x) 2) 1)

rewrite940.0ms (17.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

1834×	`times-frac_binary64`
1526×	`*-un-lft-identity_binary64`
1258×	`add-sqr-sqrt_binary64`
1056×	`sqrt-prod_binary64`
608×	`add-cube-cbrt_binary64`
520×	`difference-of-squares_binary64`
264×	`distribute-lft-out_binary64`
260×	`difference-of-sqr-1_binary64`
198×	`unpow-prod-down_binary64`
196×	`unpow2_binary64` `sqr-pow_binary64`
134×	`associate-/l*_binary64`
65×	`distribute-lft-out--_binary64`
20×	`sqrt-div_binary64` `associate-/r/_binary64`
14×	`associate-/r*_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64` `pow-pow_binary64`
3×	`cancel-sign-sub-inv_binary64` `div-sub_binary64` `associate-/l/_binary64` `pow-unpow_binary64` `exp-prod_binary64`
2×	`flip3--_binary64` `flip--_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 1169

Calls

4 calls:

45.0ms	(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
16.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
9.0ms	(pow.f64 (exp.f64 x) 2)
9.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) 1)

Compiler

Compiled 21025 to 14734 computations (29.9% saved)

series82.0ms (1.5%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

28.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
15.0ms	(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
11.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) 1)
10.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 1271 to 1006 computations (20.8% saved)

simplify1.8s (34.7%)

Algorithm

1×	egg-herbie

Rules

460×	`associate-/l/_binary64`
335×	`div-sub_binary64`
278×	`distribute-rgt-in_binary64`
258×	`distribute-lft-in_binary64`
200×	`sub-neg_binary64`
156×	`associate-/l*_binary64`
129×	`associate-/r*_binary64`
109×	`times-frac_binary64`
104×	`*-commutative_binary64`
83×	`exp-prod_binary64`
80×	`distribute-rgt-out_binary64`
73×	`+-commutative_binary64`
70×	`cancel-sign-sub-inv_binary64`
68×	`log-prod_binary64`
67×	`associate-/r/_binary64`
64×	`associate-r_binary64`
60×	`associate-+r+_binary64`
58×	`log-div_binary64` `associate-*l/_binary64` `associate-+l+_binary64`
57×	`associate-l_binary64`
55×	`exp-sum_binary64` `cube-prod_binary64` `/-rgt-identity_binary64`
52×	`distribute-neg-in_binary64`
49×	`sqr-pow_binary64`
41×	`unswap-sqr_binary64`
40×	`distribute-neg-frac_binary64`
39×	`distribute-rgt-neg-in_binary64`
35×	`log-pow_binary64` `neg-mul-1_binary64`
34×	`neg-sub0_binary64`
33×	`distribute-lft-neg-in_binary64`
32×	`*-rgt-identity_binary64`
31×	`associate-*r/_binary64`
30×	`distribute-lft-out_binary64`
28×	`cube-div_binary64`
27×	`prod-exp_binary64`
21×	`associate--l+_binary64`
20×	`unpow3_binary64`
18×	`associate--r+_binary64`
16×	`cube-mult_binary64` `unsub-neg_binary64` `swap-sqr_binary64`
14×	`cube-unmult_binary64` `*-lft-identity_binary64`
13×	`exp-diff_binary64`
12×	`pow-plus_binary64` `distribute-rgt1-in_binary64`
10×	`pow-sqr_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`log-rec_binary64` `rem-sqrt-square_binary64`
6×	`unpow1/2_binary64`
5×	`unpow2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `difference-of-sqr-1_binary64`
4×	`rec-exp_binary64` `mul-1-neg_binary64` `difference-of-sqr--1_binary64` `distribute-lft1-in_binary64`
2×	`rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `*-inverses_binary64` `difference-of-squares_binary64` `distribute-lft-neg-out_binary64` `associate--r-_binary64` `associate-+l-_binary64`
1×	`log-E_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `div0_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64` `associate--l-_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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64`

Counts

1193 → 1123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	561	58353
1	1130	49876
2	2611	47185
3	4612	46373
4	4985	46373
5	4992	46373
6	4945	46373

prune208.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	1122	1	1123
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	1123	3	1126

Error

0.0b

Counts

1126 → 3

Compiler

Compiled 6331 to 4274 computations (32.5% saved)

regimes244.0ms (4.6%)

Accuracy

Total 0.2b remaining (83.3%)

Threshold costs 0.2b (83.3%)

Compiler

Compiled 2241 to 1785 computations (20.3% saved)

bsearch15.0ms (0.3%)

Steps

Iters	Range		Point
9	-213.05675413552592	-9.131145800706123e-05	-0.001450981745007271

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64` `+-commutative_binary64`
1×	`1-exp_binary64` `exp-1-e_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-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	39
1	31	39
2	30	39

end1.0ms (0%)

Compiler: Compiled 25 to 20 computations (20% saved)

sample1.0s (19%)

Algorithm

1×

intervals

Results

401.0ms	2609×	body	1024	valid
117.0ms	1341×	body	512	valid
71.0ms	3111×	body	128	valid
45.0ms	263×	body	2048	valid
39.0ms	676×	body	256	valid

Compiler

Compiled 116 to 95 computations (18.1% saved)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Details

analyze30.0ms (0.6%)

sample29.0ms (0.5%)

simplify20.0ms (0.4%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite100.0ms (1.9%)

series39.0ms (0.7%)

simplify100.0ms (1.9%)

prune29.0ms (0.5%)

localize9.0ms (0.2%)

rewrite83.0ms (1.6%)

series52.0ms (1%)

simplify112.0ms (2.1%)

prune49.0ms (0.9%)

localize10.0ms (0.2%)

rewrite92.0ms (1.7%)

series54.0ms (1%)

simplify102.0ms (1.9%)

prune53.0ms (1%)

localize12.0ms (0.2%)

rewrite940.0ms (17.6%)

series82.0ms (1.5%)

simplify1.8s (34.7%)

prune208.0ms (3.9%)

regimes244.0ms (4.6%)

bsearch15.0ms (0.3%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.0s (19%)

Profiling

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9