Details

analyze9.0ms (0.1%)

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
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
96.8%	3.1%	0.1%	6
98.3%	1.6%	0.1%	7
99.1%	0.8%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample37.0ms (0.3%)

Algorithm

1×

intervals

Results

26.0ms

256×

body

128

valid

Compiler

Compiled 25 to 23 computations (8% saved)

simplify169.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 30.7b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
28.3b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite43.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64_766`
22×	`log-pow_binary64_849`
21×	`pow1_binary64_821`
17×	`add-sqr-sqrt_binary64_782`
16×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
6×	`sqrt-pow1_binary64_778` `associate-/l*_binary64_705` `pow1/2_binary64_840`
5×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
4×	`associate-/r*_binary64_704` `sqrt-div_binary64_777`
3×	`flip3-+_binary64_763` `sqrt-prod_binary64_776` `flip-+_binary64_734`
2×	`log-div_binary64_847` `div-sub_binary64_765`
1×	`rem-sqrt-square_binary64_773` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `+-commutative_binary64_690` `sum-log_binary64_851` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

3 → 74

Calls

3 calls:

15.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
8.0ms	(+.f64 (.f64 re re) (.f64 im im))
8.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series237.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

154.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
45.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
38.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify146.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4966	1833
1	4966	1833

prune201.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	70	13	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	13	84

Merged error: 7.2b

Counts

84 → 13

Compiler

Compiled 1787 to 762 computations (57.4% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.3b	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
0.5b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
29.5b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite120.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`times-frac_binary64_766`
83×	`add-sqr-sqrt_binary64_782`
54×	`sqrt-prod_binary64_776`
53×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
34×	`pow1_binary64_821`
32×	`associate-r_binary64_700`
28×	`log-pow_binary64_849`
25×	`associate-l_binary64_701`
19×	`add-exp-log_binary64_798`
18×	`add-cbrt-cube_binary64_796`
9×	`unswap-sqr_binary64_728`
7×	`associate-/r*_binary64_704`
6×	`add-log-exp_binary64_799`
5×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
4×	`log-div_binary64_847` `prod-exp_binary64_809` `associate-/l*_binary64_705` `cbrt-unprod_binary64_793`
3×	`flip3-+_binary64_763` `div-inv_binary64_757` `flip-+_binary64_734` `log-prod_binary64_846`
2×	`div-sub_binary64_765`
1×	`frac-2neg_binary64_771` `associate-l/_binary64_703` `frac-times_binary64_770` `+-commutative_binary64_690` `sum-log_binary64_851` `associate-r/_binary64_702` `rem-log-exp_binary64_801` `clear-num_binary64_759` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

4 → 164

Calls

4 calls:

52.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
13.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
8.0ms	(+.f64 (.f64 re re) (.f64 im im))
7.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series392.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
148.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
53.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
38.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify240.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	4938	4675
1	4938	4675

prune440.0ms (3.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	167	9	176
Fresh	9	3	12
Picked	1	0	1
Done	0	0	0
Total	177	12	189

Merged error: 7.0b

Counts

189 → 12

Compiler

Compiled 4741 to 2707 computations (42.9% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.3b	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))))
13.1b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
17.6b	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

rewrite89.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_782`
44×	`times-frac_binary64_766`
40×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
25×	`sqrt-prod_binary64_776` `associate-l_binary64_701` `pow-unpow_binary64_837`
21×	`log-prod_binary64_846`
13×	`pow1_binary64_821`
12×	`add-exp-log_binary64_798` `unpow-prod-down_binary64_839`
9×	`add-cbrt-cube_binary64_796`
8×	`log-pow_binary64_849`
7×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
6×	`add-log-exp_binary64_799`
4×	`associate-r_binary64_700` `sqr-pow_binary64_732`
3×	`unswap-sqr_binary64_728` `rem-log-exp_binary64_801`
2×	`prod-exp_binary64_809` `pow-exp_binary64_828` `div-inv_binary64_757` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793`
1×	`cbrt-undiv_binary64_794` `associate-l/_binary64_703` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851` `div-exp_binary64_811` `pow-prod-down_binary64_831` `-commutative_binary64_691` `pow-pow_binary64_832`

Counts

4 → 128

Calls

4 calls:

28.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))))
16.0ms	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))
9.0ms	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
8.0ms	(+.f64 (.f64 re re) (.f64 im im))

series989.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

384.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))))
292.0ms	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))
274.0ms	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
38.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify167.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5070	3547

prune366.0ms (2.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	138	14	152

Merged error: 7.0b

Counts

152 → 14

Compiler

Compiled 3777 to 2446 computations (35.2% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
0.5b	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
0.7b	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
29.5b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite285.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

532×	`times-frac_binary64_766`
318×	`add-sqr-sqrt_binary64_782`
238×	`*-un-lft-identity_binary64_760`
228×	`add-cube-cbrt_binary64_795`
152×	`sqrt-prod_binary64_776`
125×	`associate-r_binary64_700`
121×	`pow1_binary64_821`
115×	`log-pow_binary64_849`
42×	`add-exp-log_binary64_798`
32×	`add-cbrt-cube_binary64_796`
25×	`unswap-sqr_binary64_728`
24×	`associate-/r*_binary64_704`
22×	`associate-l_binary64_701`
19×	`div-exp_binary64_811`
17×	`div-inv_binary64_757`
13×	`cbrt-undiv_binary64_794`
10×	`associate-/l*_binary64_705`
9×	`prod-exp_binary64_809`
6×	`cbrt-unprod_binary64_793`
4×	`add-log-exp_binary64_799`
3×	`1-exp_binary64_804` `log-prod_binary64_846`
2×	`log-div_binary64_847` `frac-2neg_binary64_771` `associate-/r/_binary64_706` `clear-num_binary64_759`
1×	`associate-l/_binary64_703` `flip3-+_binary64_763` `flip-+_binary64_734` `frac-times_binary64_770` `associate-r/_binary64_702` `rem-log-exp_binary64_801` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

4 → 410

Calls

4 calls:

132.0ms	(.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
18.0ms	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
8.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
7.0ms	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))

series629.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

232.0ms	(.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
179.0ms	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
169.0ms	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
49.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify325.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

422 → 422

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	5073	13343

prune1.6s (11.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	418	4	422
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	421	15	436

Merged error: 7.0b

Counts

436 → 15

Compiler

Compiled 12555 to 6880 computations (45.2% saved)

regimes2.9s (22.1%)

Compiler: Compiled 12710 to 9949 computations (21.7% saved)

bsearch161.0ms (1.2%)

Steps

Iters	Range		Point
7	1.1401839384146677e+47	2.041532978686873e+49	1.2668046021614768e+48
9	4.901322576957794e-220	1.6285109249178052e-212	6.0245846924273985e-220
9	-2.5186276571487274e-304	1.335033371844717e-306	-1.5790382649926146e-307
8	-1.409626580654861e+104	-1.9575248031071573e+101	-6.278604197488825e+103

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	164
1	61	164

end0.0ms (0%)

sample3.6s (27.2%)

Algorithm

1×

intervals

Results

924.0ms

8000×

body

128

valid

Compiler

Compiled 1226 to 998 computations (18.6% saved)

Details

analyze9.0ms (0.1%)

sample37.0ms (0.3%)

simplify169.0ms (1.3%)

prune5.0ms (0%)

localize21.0ms (0.2%)

rewrite43.0ms (0.3%)

series237.0ms (1.8%)

simplify146.0ms (1.1%)

prune201.0ms (1.5%)

localize24.0ms (0.2%)

rewrite120.0ms (0.9%)

series392.0ms (2.9%)

simplify240.0ms (1.8%)

prune440.0ms (3.3%)

localize34.0ms (0.3%)

rewrite89.0ms (0.7%)

series989.0ms (7.4%)

simplify167.0ms (1.3%)

prune366.0ms (2.8%)

localize28.0ms (0.2%)

rewrite285.0ms (2.1%)

series629.0ms (4.7%)

simplify325.0ms (2.4%)

prune1.6s (11.9%)

regimes2.9s (22.1%)

bsearch161.0ms (1.2%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.6s (27.2%)

Profiling