Details

analyze1.5s (17.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

74×	`+-commutative_binary64`
50×	`*-commutative_binary64`
41×	`associate-+l+_binary64`
40×	`associate-+r+_binary64`
38×	`associate-/r/_binary64` `associate-/l*_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	400
1	200	400
2	325	400
3	367	400
4	383	400
5	382	400
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	10×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64` `+-commutative_binary64`
4×	`associate-/r/_binary64` `associate-/l*_binary64`
3×	`associate-+l+_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r_binary64` `associate--r-_binary64` `associate--l-_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	16	25
1	29	25
2	41	25
3	47	25
4	49	25
5	48	25

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

16.2b

Counts

1 → 1

Compiler

Compiled 17 to 15 computations (11.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
5.3b	(/.f64 (*.f64 y b) t)
5.7b	(/.f64 (*.f64 y z) t)
10.4b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite181.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

10.2b

Rules

58×	`*-un-lft-identity_binary64`
26×	`times-frac_binary64`
22×	`distribute-lft-out_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r*_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64`
4×	`pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/r/_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `frac-add_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
1×	`sum-log_binary64` `+-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

14.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
5.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
4.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 2326 to 739 computations (68.2% saved)

series377.0ms (4.4%)

Error

4.0b

Counts

4 → 80

Calls

4 calls:

235.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
50.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
29.0ms	(/.f64 (*.f64 y b) t)
29.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 4430 to 3231 computations (27.1% saved)

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

656×	`distribute-rgt-in_binary64`
446×	`cancel-sign-sub-inv_binary64`
275×	`associate-/l*_binary64`
271×	`times-frac_binary64`
172×	`sub-neg_binary64`
149×	`distribute-neg-frac_binary64`
142×	`associate-/r*_binary64`
123×	`associate-l_binary64`
112×	`associate-*l/_binary64`
106×	`distribute-rgt-neg-in_binary64`
104×	`distribute-lft-in_binary64`
102×	`associate-r_binary64`
97×	`associate-*r/_binary64`
93×	`*-commutative_binary64`
91×	`distribute-lft-neg-in_binary64`
89×	`unswap-sqr_binary64`
86×	`+-commutative_binary64`
82×	`associate-/l/_binary64`
78×	`distribute-neg-in_binary64`
71×	`associate-/r/_binary64`
55×	`sqr-pow_binary64`
53×	`neg-mul-1_binary64` `neg-sub0_binary64`
48×	`associate--r+_binary64`
47×	`associate--l+_binary64`
44×	`*-rgt-identity_binary64`
43×	`associate-+l+_binary64`
37×	`distribute-rgt-out_binary64` `associate-+r+_binary64`
34×	`unsub-neg_binary64`
29×	`log-div_binary64`
28×	`cube-div_binary64`
20×	`distribute-lft-neg-out_binary64`
19×	`*-lft-identity_binary64`
18×	`cube-prod_binary64`
14×	`unpow3_binary64` `/-rgt-identity_binary64`
13×	`swap-sqr_binary64`
11×	`log-prod_binary64` `cube-mult_binary64` `div-sub_binary64`
8×	`distribute-rgt-out--_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-lft-out_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`cube-unmult_binary64` `difference-of-squares_binary64`
3×	`log-pow_binary64` `exp-prod_binary64` `distribute-rgt-neg-out_binary64`
2×	`log-rec_binary64` `pow-plus_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-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-square-sqrt_binary64` `mul-1-neg_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` `pow-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

181 → 116

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	4296
1	821	4173
2	3233	3919
3	5251	3919

prune106.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	105	11	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	11	117

Error

2.8b

Counts

117 → 11

Compiler

Compiled 2207 to 839 computations (62% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.8b	(.f64 t (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)))
5.3b	(/.f64 (*.f64 y b) t)
5.3b	(/.f64 (*.f64 y b) t)
13.3b	(/.f64 (.f64 z y) (.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))

rewrite218.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
8×	`div-exp_binary64` `cbrt-undiv_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/r*_binary64`
6×	`pow1_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-l*_binary64` `distribute-lft-out_binary64`
2×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

13.0ms	(/.f64 (.f64 z y) (.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
12.0ms	(.f64 t (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)))
7.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 3039 to 1176 computations (61.3% saved)

series289.0ms (3.4%)

Error

1.3b

Counts

4 → 71

Calls

4 calls:

142.0ms	(/.f64 (.f64 z y) (.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
67.0ms	(.f64 t (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)))
31.0ms	(/.f64 (*.f64 y b) t)
29.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 4124 to 2871 computations (30.4% saved)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

675×	`distribute-rgt-in_binary64`
646×	`distribute-lft-in_binary64`
376×	`times-frac_binary64`
246×	`associate-/l*_binary64`
181×	`associate-/r*_binary64`
166×	`cancel-sign-sub-inv_binary64`
160×	`associate-l_binary64`
125×	`associate-r_binary64`
111×	`distribute-neg-frac_binary64`
107×	`distribute-rgt-neg-in_binary64`
98×	`distribute-lft-neg-in_binary64`
80×	`unswap-sqr_binary64`
76×	`*-commutative_binary64`
71×	`sub-neg_binary64`
63×	`associate-*l/_binary64`
53×	`associate-*r/_binary64`
43×	`associate-/r/_binary64`
42×	`sqr-pow_binary64`
41×	`neg-mul-1_binary64` `neg-sub0_binary64`
38×	`log-div_binary64`
32×	`distribute-neg-in_binary64`
30×	`+-commutative_binary64`
29×	`exp-prod_binary64`
28×	`log-prod_binary64` `associate-/l/_binary64`
26×	`-rgt-identity_binary64` `-lft-identity_binary64`
21×	`cube-prod_binary64` `swap-sqr_binary64`
18×	`unsub-neg_binary64`
17×	`/-rgt-identity_binary64` `associate--r+_binary64`
16×	`distribute-rgt-out_binary64`
14×	`cube-div_binary64`
13×	`exp-sum_binary64`
12×	`associate--l+_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`distribute-rgt-out--_binary64`
7×	`cube-unmult_binary64` `associate-+l+_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-+r+_binary64`
5×	`distribute-rgt-neg-out_binary64`
4×	`div-sub_binary64`
3×	`log-pow_binary64` `log-rec_binary64` `pow-plus_binary64`
2×	`unpow3_binary64` `cube-mult_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `difference-of-sqr-1_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` `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` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `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-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

160 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	2954
1	554	2561
2	2553	2463
3	5386	2463

prune66.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	65	11	76

Error

2.3b

Counts

76 → 11

Compiler

Compiled 1412 to 662 computations (53.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.8b	(/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
5.3b	(/.f64 (*.f64 y b) t)
5.3b	(/.f64 (*.f64 y b) t)
6.6b	(/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))

rewrite349.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

1.7b

Rules

156×	`*-un-lft-identity_binary64`
144×	`times-frac_binary64`
76×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
48×	`distribute-lft-out_binary64`
32×	`associate-/r*_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
8×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-/l*_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64`

Counts

4 → 181

Calls

4 calls:

15.0ms	(/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
11.0ms	(/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
5.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 5904 to 2475 computations (58.1% saved)

series271.0ms (3.2%)

Error

0.6b

Counts

4 → 68

Calls

4 calls:

97.0ms	(/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
84.0ms	(/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
32.0ms	(/.f64 (*.f64 y b) t)
31.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 3897 to 2790 computations (28.4% saved)

simplify298.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

652×	`associate-/r/_binary64`
613×	`distribute-rgt-in_binary64`
559×	`distribute-lft-in_binary64`
152×	`associate-/l/_binary64`
144×	`associate-/l*_binary64`
139×	`associate-*l/_binary64`
104×	`*-commutative_binary64`
101×	`cancel-sign-sub-inv_binary64`
90×	`times-frac_binary64`
75×	`sub-neg_binary64` `distribute-neg-frac_binary64`
72×	`associate-*r/_binary64`
69×	`associate-/r*_binary64`
68×	`unswap-sqr_binary64`
57×	`*-rgt-identity_binary64`
56×	`associate-r_binary64`
54×	`associate-l_binary64`
51×	`distribute-rgt-neg-in_binary64`
46×	`distribute-lft-neg-in_binary64`
45×	`log-prod_binary64`
44×	`cube-prod_binary64`
36×	`neg-mul-1_binary64` `neg-sub0_binary64` `sqr-pow_binary64`
33×	`log-div_binary64` `+-commutative_binary64`
28×	`exp-sum_binary64`
27×	`distribute-neg-in_binary64`
26×	`*-lft-identity_binary64`
24×	`exp-prod_binary64`
23×	`unpow3_binary64`
18×	`cube-div_binary64`
17×	`associate--r+_binary64`
14×	`unsub-neg_binary64`
12×	`associate--l+_binary64`
11×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64`
9×	`log-pow_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64` `associate-+l+_binary64`
8×	`pow-plus_binary64` `cube-mult_binary64` `distribute-rgt-out_binary64`
7×	`distribute-rgt-neg-out_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-+r+_binary64`
3×	`log-rec_binary64` `div-sub_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
2×	`rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `div0_binary64` `difference-of-sqr-1_binary64` `associate--r-_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` `log-E_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` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-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-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

249 → 213

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	5964
1	651	5676
2	2279	5617
3	4851	5617
4	4992	5617
5	5000	5617
6	4987	5617

prune232.0ms (2.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	210	3	213
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	213	11	224

Error

0.5b

Counts

224 → 11

Compiler

Compiled 5147 to 2212 computations (57% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(*.f64 (/.f64 t y) (+.f64 a 1))
1.5b	(/.f64 x (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
4.1b	(/.f64 z (+.f64 b (*.f64 (/.f64 t y) (+.f64 a 1))))
5.3b	(/.f64 (*.f64 y b) t)

rewrite267.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

54×	`*-un-lft-identity_binary64`
37×	`add-sqr-sqrt_binary64` `times-frac_binary64`
32×	`add-cube-cbrt_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`distribute-lft-out_binary64` `associate-l_binary64`
11×	`associate-/r*_binary64`
7×	`associate-/l*_binary64`
6×	`pow1_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64` `associate-r_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64`
2×	`frac-times_binary64` `unswap-sqr_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 126

Calls

4 calls:

10.0ms	(/.f64 x (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
9.0ms	(*.f64 (/.f64 t y) (+.f64 a 1))
5.0ms	(/.f64 z (+.f64 b (*.f64 (/.f64 t y) (+.f64 a 1))))
4.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 3721 to 1747 computations (53.1% saved)

series387.0ms (4.5%)

Error

0.0b

Counts

4 → 82

Calls

4 calls:

139.0ms	(/.f64 z (+.f64 b (*.f64 (/.f64 t y) (+.f64 a 1))))
127.0ms	(/.f64 x (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
37.0ms	(*.f64 (/.f64 t y) (+.f64 a 1))
32.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 5700 to 3944 computations (30.8% saved)

simplify172.0ms (2%)

Algorithm

1×	egg-herbie

Rules

452×	`cancel-sign-sub-inv_binary64`
270×	`times-frac_binary64`
267×	`associate-/l*_binary64`
185×	`distribute-neg-frac_binary64`
173×	`distribute-rgt-in_binary64`
171×	`associate-l_binary64`
163×	`distribute-lft-in_binary64`
160×	`associate-/r*_binary64`
159×	`unswap-sqr_binary64`
155×	`associate-*l/_binary64`
138×	`associate-r_binary64`
120×	`sub-neg_binary64`
118×	`*-commutative_binary64`
106×	`associate-*r/_binary64`
75×	`associate-/l/_binary64` `associate-/r/_binary64`
74×	`sqr-pow_binary64`
70×	`div-sub_binary64`
67×	`cube-prod_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
62×	`log-prod_binary64` `*-rgt-identity_binary64` `distribute-neg-in_binary64` `+-commutative_binary64`
45×	`exp-prod_binary64`
40×	`*-lft-identity_binary64`
34×	`swap-sqr_binary64`
33×	`log-div_binary64`
31×	`associate--r+_binary64`
28×	`unsub-neg_binary64`
25×	`unpow3_binary64`
24×	`cube-div_binary64`
20×	`associate--l+_binary64`
16×	`cube-unmult_binary64`
15×	`cube-mult_binary64` `/-rgt-identity_binary64`
13×	`log-pow_binary64` `distribute-rgt-neg-in_binary64`
12×	`rem-sqrt-square_binary64` `associate-+l+_binary64`
10×	`unpow1/2_binary64`
9×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `distribute-lft-neg-in_binary64`
6×	`exp-sum_binary64` `associate-+r+_binary64`
5×	`difference-of-squares_binary64`
4×	`log-rec_binary64` `fabs-mul_binary64`
2×	`pow-sqr_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_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` `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` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

208 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	4432
1	975	4240
2	3365	4238
3	4809	4238
4	5018	4238

prune98.0ms (1.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	117	12	129

Error

0.5b

Counts

129 → 12

Compiler

Compiled 1867 to 841 computations (55% saved)

regimes2.3s (26.5%)

Accuracy

Total 2.9b remaining (78.9%)

Threshold costs 0b (0%)

Compiler

Compiled 37833 to 27848 computations (26.4% saved)

bsearch13.0ms (0.1%)

Steps

Iters	Range		Point
2	-4.710156563985278e+43	-8.059888338739752e+42	-1.2246087210784099e+43

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
3×	`*-commutative_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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	33	74
1	47	74
2	46	74

end1.0ms (0%)

Compiler: Compiled 50 to 35 computations (30% saved)

sample1.2s (13.6%)

Algorithm

1×

intervals

Results

435.0ms	8000×	body	128	valid
13.0ms	257×	body	128	invalid

Compiler

Compiled 455 to 361 computations (20.7% saved)

Details

analyze1.5s (17.4%)

sample27.0ms (0.3%)

simplify11.0ms (0.1%)

prune2.0ms (0%)

localize12.0ms (0.1%)

rewrite181.0ms (2.1%)

series377.0ms (4.4%)

simplify128.0ms (1.5%)

prune106.0ms (1.2%)

localize14.0ms (0.2%)

rewrite218.0ms (2.5%)

series289.0ms (3.4%)

simplify95.0ms (1.1%)

prune66.0ms (0.8%)

localize13.0ms (0.2%)

rewrite349.0ms (4.1%)

series271.0ms (3.2%)

simplify298.0ms (3.5%)

prune232.0ms (2.7%)

localize15.0ms (0.2%)

rewrite267.0ms (3.1%)

series387.0ms (4.5%)

simplify172.0ms (2%)

prune98.0ms (1.1%)

regimes2.3s (26.5%)

bsearch13.0ms (0.1%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.2s (13.6%)

Profiling