Details

analyze269.0ms (15%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	50%	25.1%	7
31.2%	37.5%	31.3%	8
39%	24.2%	36.8%	9
42.9%	18.3%	38.7%	10
47.2%	11.9%	40.9%	11
49.4%	9.1%	41.6%	12
51.6%	5.9%	42.5%	13
52.7%	4.5%	42.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample21.0ms (1.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify429.0ms (23.9%)

Algorithm

1×	egg-herbie

Rules

997×	`unsub-neg_binary64`
710×	`exp-prod_binary64`
437×	`cube-prod_binary64`
376×	`cancel-sign-sub-inv_binary64`
298×	`exp-sum_binary64`
193×	`sub-neg_binary64`
188×	`swap-sqr_binary64`
178×	`exp-diff_binary64`
173×	`neg-mul-1_binary64`
158×	`neg-sub0_binary64`
136×	`distribute-rgt1-in_binary64`
119×	`distribute-rgt-in_binary64`
114×	`associate-+l+_binary64`
110×	`distribute-lft-neg-in_binary64`
93×	`distribute-rgt-neg-in_binary64` `associate--l-_binary64` `associate-+l-_binary64`
88×	`distribute-neg-in_binary64` `associate--r-_binary64`
85×	`*-commutative_binary64`
82×	`associate-+r+_binary64`
77×	`distribute-neg-out_binary64`
63×	`pow-plus_binary64`
62×	`sqr-neg_binary64`
59×	`distribute-lft-in_binary64`
58×	`+-commutative_binary64`
49×	`distribute-rgt-neg-out_binary64`
45×	`distribute-lft-neg-out_binary64`
44×	`associate--r+_binary64`
38×	`associate-+r-_binary64`
32×	`exp-neg_binary64`
31×	`sub0-neg_binary64`
28×	`associate-r_binary64`
25×	`distribute-rgt-out_binary64`
20×	`+-rgt-identity_binary64`
19×	`associate--l+_binary64`
16×	`associate-l_binary64`
14×	`remove-double-neg_binary64`
13×	`exp-lft-sqr_binary64`
10×	`+-lft-identity_binary64`
8×	`count-2_binary64`
6×	`cube-neg_binary64`
5×	`mul0-rgt_binary64` `mul0-lft_binary64`
4×	`+-inverses_binary64` `distribute-lft1-in_binary64`
3×	`cube-unmult_binary64` `times-frac_binary64`
2×	`div-sub_binary64` `*-rgt-identity_binary64` `--rgt-identity_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `mul-1-neg_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	14	10
2	24	10
3	49	10
4	107	10
5	227	10
6	443	10
7	1119	10
8	2143	10

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 re re) (.f64 im im))

rewrite21.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3--_binary64` `*-un-lft-identity_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64`

Counts

1 → 13

Calls

1 calls:

6.0ms

(-.f64 (*.f64 re re) (*.f64 im im))

Compiler

Compiled 194 to 47 computations (75.8% saved)

series171.0ms (9.6%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

163.0ms

(-.f64 (*.f64 re re) (*.f64 im im))

Compiler

Compiled 174 to 164 computations (5.7% saved)

simplify93.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

784×	`distribute-rgt-in_binary64`
731×	`distribute-lft-in_binary64`
414×	`unsub-neg_binary64`
381×	`times-frac_binary64`
184×	`unswap-sqr_binary64`
170×	`*-commutative_binary64`
134×	`exp-sum_binary64`
116×	`associate-l_binary64`
109×	`associate-r_binary64`
104×	`neg-sub0_binary64`
100×	`neg-mul-1_binary64`
94×	`exp-prod_binary64` `cancel-sign-sub-inv_binary64`
71×	`sqr-pow_binary64`
59×	`associate-+r+_binary64`
57×	`distribute-lft-neg-out_binary64`
56×	`pow-plus_binary64`
52×	`distribute-rgt-neg-out_binary64`
48×	`difference-of-squares_binary64`
47×	`associate-+l+_binary64`
43×	`distribute-rgt-neg-in_binary64`
41×	`distribute-lft-neg-in_binary64`
40×	`pow-sqr_binary64`
31×	`sub-neg_binary64` `distribute-rgt-out_binary64` `+-commutative_binary64`
28×	`associate-/r*_binary64`
23×	`cube-prod_binary64`
21×	`exp-diff_binary64`
18×	`cube-unmult_binary64` `distribute-lft-out_binary64`
16×	`unpow3_binary64` `div-sub_binary64`
15×	`associate-/r/_binary64` `associate-/l*_binary64`
12×	`associate-/l/_binary64` `associate-+r-_binary64`
11×	`swap-sqr_binary64`
10×	`associate-*l/_binary64`
9×	`associate-*r/_binary64`
8×	`log-prod_binary64` `cube-mult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-+l-_binary64`
6×	`exp-neg_binary64` `sqr-neg_binary64`
5×	`+-rgt-identity_binary64`
4×	`mul-1-neg_binary64` `sub0-neg_binary64` `associate--r+_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `cube-neg_binary64` `distribute-neg-in_binary64` `count-2_binary64`
1×	`rec-exp_binary64` `1-exp_binary64` `-rgt-identity_binary64` `-inverses_binary64` `rgt-mult-inverse_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_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` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

25 → 43

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	318
1	98	288
2	348	288
3	949	288
4	3903	288

prune40.0ms (2.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	1	44

Error

Counts

44 → 1

Compiler

Compiled 697 to 239 computations (65.7% saved)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 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-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64 +-commutative_binary64

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Compiler

Compiled 0 to 0 computations (0% saved)

regimes149.0ms (8.3%)

Accuracy

Total 0.0b remaining (80%)

Threshold costs 0.0b (80%)

Compiler

Compiled 1117 to 685 computations (38.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64` `*-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	15	10
3	17	10
4	18	10

Proof

(* f64 (+ f64 h0 h1) (- f64 h1 h0))

end0.0ms (0%)

sample571.0ms (31.8%)

Algorithm

1×

intervals

Results

172.0ms	8000×	body	128	valid
3.0ms	164×	body	128	invalid

Compiler

Compiled 182 to 116 computations (36.3% saved)

Details

analyze269.0ms (15%)

sample21.0ms (1.2%)

simplify429.0ms (23.9%)

prune3.0ms (0.2%)

localize6.0ms (0.3%)

rewrite21.0ms (1.2%)

series171.0ms (9.6%)

simplify93.0ms (5.2%)

prune40.0ms (2.3%)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.5%)

prune1.0ms (0.1%)

regimes149.0ms (8.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample571.0ms (31.8%)

Profiling