Details

analyze5.0ms (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)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 25 to 23 computations (8% saved)

simplify167.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

prune2.0ms (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: 32.6b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize10.0ms (0.1%)

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))
30.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64_773`
22×	`log-pow_binary64_856`
21×	`pow1_binary64_828`
17×	`add-sqr-sqrt_binary64_789`
16×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
6×	`associate-/l*_binary64_712` `pow1/2_binary64_847` `sqrt-pow1_binary64_785`
5×	`add-exp-log_binary64_805` `add-log-exp_binary64_806` `add-cbrt-cube_binary64_803`
4×	`associate-/r*_binary64_711` `sqrt-div_binary64_784`
3×	`flip-+_binary64_741` `sqrt-prod_binary64_783` `flip3-+_binary64_770`
2×	`log-div_binary64_854` `div-sub_binary64_772`
1×	`frac-2neg_binary64_778` `rem-sqrt-square_binary64_780` `cbrt-undiv_binary64_801` `+-commutative_binary64_697` `sum-log_binary64_858` `div-exp_binary64_818` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

3 → 74

Calls

3 calls:

9.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
5.0ms	(+.f64 (.f64 re re) (.f64 im im))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series224.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

140.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
43.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
40.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify101.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4931	1833
1	4931	1833

prune328.0ms (4.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	71	12	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	12	84

Merged error: 9.6b

Counts

84 → 12

Compiler

Compiled 5857 to 3286 computations (43.9% saved)

localize13.0ms (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)))
31.3b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite70.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`times-frac_binary64_773`
83×	`add-sqr-sqrt_binary64_789`
54×	`sqrt-prod_binary64_783`
53×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
34×	`pow1_binary64_828`
32×	`associate-r_binary64_707`
28×	`log-pow_binary64_856`
25×	`associate-l_binary64_708`
19×	`add-exp-log_binary64_805`
18×	`add-cbrt-cube_binary64_803`
9×	`unswap-sqr_binary64_735`
7×	`associate-/r*_binary64_711`
6×	`add-log-exp_binary64_806`
5×	`cbrt-undiv_binary64_801` `div-exp_binary64_818`
4×	`log-div_binary64_854` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `associate-/l*_binary64_712`
3×	`flip-+_binary64_741` `flip3-+_binary64_770` `log-prod_binary64_853` `div-inv_binary64_764`
2×	`div-sub_binary64_772`
1×	`frac-2neg_binary64_778` `frac-times_binary64_777` `-commutative_binary64_698` `+-commutative_binary64_697` `sum-log_binary64_858` `rem-log-exp_binary64_808` `associate-r/_binary64_709` `associate-*l/_binary64_710` `pow-prod-down_binary64_838` `clear-num_binary64_766`

Counts

4 → 164

Calls

4 calls:

32.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
9.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
5.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(+.f64 (.f64 re re) (.f64 im im))

series388.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

156.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
139.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
56.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
37.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify102.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4965	4675
1	4965	4675

prune603.0ms (8.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	166	10	176
Fresh	7	4	11
Picked	1	0	1
Done	0	0	0
Total	174	14	188

Merged error: 9.4b

Counts

188 → 14

Compiler

Compiled 10608 to 7216 computations (32% saved)

localize18.0ms (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))))))
14.3b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
18.1b	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

rewrite54.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_789`
44×	`times-frac_binary64_773`
40×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
25×	`associate-l_binary64_708` `pow-unpow_binary64_844` `sqrt-prod_binary64_783`
21×	`log-prod_binary64_853`
13×	`pow1_binary64_828`
12×	`add-exp-log_binary64_805` `unpow-prod-down_binary64_846`
9×	`add-cbrt-cube_binary64_803`
8×	`log-pow_binary64_856`
7×	`distribute-rgt-in_binary64_717` `distribute-lft-in_binary64_716`
6×	`add-log-exp_binary64_806`
4×	`associate-r_binary64_707` `sqr-pow_binary64_739`
3×	`unswap-sqr_binary64_735` `rem-log-exp_binary64_808`
2×	`pow-to-exp_binary64_836` `cbrt-unprod_binary64_800` `pow-exp_binary64_835` `prod-exp_binary64_816` `div-inv_binary64_764`
1×	`cbrt-undiv_binary64_801` `-commutative_binary64_698` `flip-+_binary64_741` `+-commutative_binary64_697` `sum-log_binary64_858` `associate-l/_binary64_710` `flip3-+_binary64_770` `div-exp_binary64_818` `pow-prod-down_binary64_838` `pow-pow_binary64_839`

Counts

4 → 128

Calls

4 calls:

17.0ms	(.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))))))
9.0ms	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))
6.0ms	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
5.0ms	(+.f64 (.f64 re re) (.f64 im im))

series949.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

383.0ms	(.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))))))
271.0ms	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))
258.0ms	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
37.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify94.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5047	3547

prune279.0ms (4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	139	15	154

Merged error: 9.4b

Counts

154 → 15

Compiler

Compiled 4898 to 3514 computations (28.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))) (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))))))
0.4b	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))))
0.5b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
31.3b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite106.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`sqrt-prod_binary64_783`
112×	`times-frac_binary64_773`
107×	`add-sqr-sqrt_binary64_789`
69×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
60×	`associate-l_binary64_708`
42×	`pow1_binary64_828`
31×	`log-pow_binary64_856`
29×	`associate-r_binary64_707`
21×	`add-exp-log_binary64_805`
20×	`add-cbrt-cube_binary64_803`
12×	`unswap-sqr_binary64_735`
10×	`sqrt-div_binary64_784`
7×	`associate-/r*_binary64_711` `cbrt-unprod_binary64_800` `prod-exp_binary64_816`
6×	`frac-times_binary64_777` `associate-*r/_binary64_709`
4×	`log-div_binary64_854` `add-log-exp_binary64_806` `associate-/l_binary64_712` `associate-l/_binary64_710` `pow-prod-down_binary64_838` `div-inv_binary64_764`
3×	`cbrt-undiv_binary64_801` `div-exp_binary64_818` `log-prod_binary64_853`
2×	`*-commutative_binary64_698` `flip-+_binary64_741` `flip3-+_binary64_770` `div-sub_binary64_772`
1×	`frac-2neg_binary64_778` `rem-log-exp_binary64_808` `clear-num_binary64_766`

Counts

4 → 207

Calls

4 calls:

31.0ms	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))))
31.0ms	(.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))) (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))))))
9.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
5.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series979.0ms (14.2%)

Counts

4 → 12

Calls

4 calls:

354.0ms	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))))
339.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
230.0ms	(.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))) (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))))))
56.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4948	7134
1	4948	7134

prune579.0ms (8.4%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	214	5	219
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	216	18	234

Merged error: 9.4b

Counts

234 → 18

Compiler

Compiled 9417 to 6977 computations (25.9% saved)

regimes475.0ms (6.9%)

Compiler: Compiled 3234 to 3098 computations (4.2% saved)

bsearch52.0ms (0.7%)

Steps

Iters	Range		Point
9	4.698603790365629e+133	2.2660321260268467e+142	1.5911973190793671e+134
9	-2.07617451340477e+152	-7.795130478179491e+142	-8.54260365148822e+142

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	81
1	40	81

end0.0ms (0%)

sample1.1s (16.4%)

Algorithm

1×

intervals

Results

501.0ms

8000×

body

128

valid

Compiler

Compiled 420 to 404 computations (3.8% saved)

Details

analyze5.0ms (0.1%)

sample22.0ms (0.3%)

simplify167.0ms (2.4%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite25.0ms (0.4%)

series224.0ms (3.2%)

simplify101.0ms (1.5%)

prune328.0ms (4.7%)

localize13.0ms (0.2%)

rewrite70.0ms (1%)

series388.0ms (5.6%)

simplify102.0ms (1.5%)

prune603.0ms (8.7%)

localize18.0ms (0.3%)

rewrite54.0ms (0.8%)

series949.0ms (13.7%)

simplify94.0ms (1.4%)

prune279.0ms (4%)

localize15.0ms (0.2%)

rewrite106.0ms (1.5%)

series979.0ms (14.2%)

simplify121.0ms (1.8%)

prune579.0ms (8.4%)

regimes475.0ms (6.9%)

bsearch52.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (16.4%)

Profiling