Details

analyze941.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	154
1	43	154
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample34.0ms (0.2%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

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

Error

21.4b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.3b	(+.f64 (.f64 a c) (.f64 b d))
21.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite127.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

21.3b

Rules

11×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
9×	`times-frac_binary64_425`
7×	`add-log-exp_binary64_458`
5×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
4×	`flip3-+_binary64_422` `flip-+_binary64_393`
3×	`pow1_binary64_480` `associate-/l_binary64_364` `associate-/r_binary64_363`
2×	`associate-/l/_binary64_366` `associate-/r/_binary64_365` `sum-log_binary64_510` `+-commutative_binary64_349`
1×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`

Counts

3 → 53

Calls

3 calls:

9.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
5.0ms	(+.f64 (.f64 c c) (.f64 d d))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))

Compiler

Compiled 1469 to 193 computations (86.9% saved)

series961.0ms (6.7%)

Error

4.3b

Counts

3 → 72

Calls

3 calls:

478.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
236.0ms	(+.f64 (.f64 a c) (.f64 b d))
148.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 2544 to 1601 computations (37.1% saved)

simplify176.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4967	2464
1	4967	2464

prune157.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	116	9	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	9	126

Error

3.3b

Counts

126 → 9

Compiler

Compiled 2590 to 411 computations (84.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 d b) (.f64 c a))
12.1b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
26.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite178.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

3.3b

Rules

23×	`add-sqr-sqrt_binary64_441`
21×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
18×	`sqrt-prod_binary64_435` `times-frac_binary64_425`
6×	`pow1_binary64_480` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `sqrt-div_binary64_436` `associate-/r*_binary64_363`
5×	`flip3-+_binary64_422` `flip-+_binary64_393`
3×	`associate-/l*_binary64_364`
2×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `associate-/l/_binary64_366` `associate-/r/_binary64_365`
1×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

4 → 84

Calls

4 calls:

19.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
9.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
8.0ms	(+.f64 (.f64 d b) (.f64 c a))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 3211 to 343 computations (89.3% saved)

series1.3s (8.8%)

Error

3.3b

Counts

4 → 98

Calls

4 calls:

601.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
206.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
189.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
166.0ms	(+.f64 (.f64 d b) (.f64 c a))

Compiler

Compiled 6092 to 3236 computations (46.9% saved)

simplify145.0ms (1%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5010	3826

prune243.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	182	9	191

Error

3.3b

Counts

191 → 9

Compiler

Compiled 5602 to 859 computations (84.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.0b	(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (.f64 d d))))
14.4b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
15.0b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))

rewrite194.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

3.2b

Rules

14×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
10×	`*-un-lft-identity_binary64_419`
8×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `associate-/r/_binary64_365`
6×	`times-frac_binary64_425` `flip3-+_binary64_422` `flip-+_binary64_393` `associate-/r*_binary64_363`
4×	`pow1_binary64_480` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-inv_binary64_416`
3×	`distribute-rgt-out_binary64_372`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l*_binary64_364` `sum-log_binary64_510` `+-commutative_binary64_349`
1×	`frac-add_binary64_427` `distribute-lft-out_binary64_370`

Counts

4 → 73

Calls

4 calls:

26.0ms	(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (.f64 d d))))
12.0ms	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
12.0ms	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
7.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 2595 to 313 computations (87.9% saved)

series1.6s (10.9%)

Error

3.3b

Counts

4 → 84

Calls

4 calls:

712.0ms	(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (.f64 d d))))
317.0ms	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
269.0ms	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
143.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 4269 to 2605 computations (39% saved)

simplify131.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5012	3393

prune233.0ms (1.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	156	10	166

Error

3.2b

Counts

166 → 10

Compiler

Compiled 4222 to 694 computations (83.6% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
12.1b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
26.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite393.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

3.2b

Rules

95×	`add-sqr-sqrt_binary64_441`
76×	`times-frac_binary64_425`
53×	`*-un-lft-identity_binary64_419`
47×	`add-cube-cbrt_binary64_454` `sqrt-prod_binary64_435`
28×	`add-exp-log_binary64_457`
24×	`associate-l_binary64_360` `associate-r_binary64_359`
18×	`add-cbrt-cube_binary64_455`
15×	`unswap-sqr_binary64_387`
10×	`sqrt-div_binary64_436`
9×	`div-exp_binary64_470`
8×	`pow1_binary64_480` `prod-exp_binary64_468`
6×	`flip3-+_binary64_422` `flip-+_binary64_393` `associate-/r/_binary64_365` `associate-/r*_binary64_363`
5×	`cbrt-undiv_binary64_453`
4×	`add-log-exp_binary64_458` `cbrt-unprod_binary64_452`
3×	`div-inv_binary64_416` `associate-/l*_binary64_364`
2×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `associate-/l/_binary64_366` `1-exp_binary64_463` `rec-exp_binary64_469`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `pow-prod-down_binary64_490` `frac-times_binary64_429` `associate-l/_binary64_362` `associate-r/_binary64_361` `*-commutative_binary64_350`

Counts

4 → 160

Calls

4 calls:

32.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
10.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 7120 to 1049 computations (85.3% saved)

series1.7s (12.1%)

Error

3.2b

Counts

4 → 110

Calls

4 calls:

611.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
559.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
230.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
196.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 6354 to 4065 computations (36% saved)

simplify243.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4958	8062
1	4958	8062

prune376.0ms (2.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	269	1	270
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	271	9	280

Error

3.1b

Counts

280 → 9

Compiler

Compiled 8703 to 1416 computations (83.7% saved)

regimes1.9s (13.1%)

Accuracy

Total 10.7b remaining (80.6%)

Threshold costs 0b (0%)

Compiler

Compiled 10904 to 6078 computations (44.3% saved)

bsearch168.0ms (1.2%)

Steps

Iters	Range		Point
9	3.707939621146806e+150	9.648295405461117e+157	9.135302267760445e+153
9	1.6249963907628592e-160	1.0004291877283532e-153	4.838421126276139e-155
9	-4.223533644293065e-125	-2.4591363139426727e-130	-7.204616623989053e-127
9	-2.890882504993363e+172	-9.841590849961723e+165	-9.996605145581266e+165

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	200
1	46	200

end0.0ms (0%)

sample3.1s (21.7%)

Algorithm

1×

intervals

Results

594.0ms	8000×	body	128	valid
33.0ms	471×	body	128	invalid

Compiler

Compiled 2323 to 1263 computations (45.6% saved)

Details

analyze941.0ms (6.5%)

sample34.0ms (0.2%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite127.0ms (0.9%)

series961.0ms (6.7%)

simplify176.0ms (1.2%)

prune157.0ms (1.1%)

localize23.0ms (0.2%)

rewrite178.0ms (1.2%)

series1.3s (8.8%)

simplify145.0ms (1%)

prune243.0ms (1.7%)

localize25.0ms (0.2%)

rewrite194.0ms (1.3%)

series1.6s (10.9%)

simplify131.0ms (0.9%)

prune233.0ms (1.6%)

localize27.0ms (0.2%)

rewrite393.0ms (2.7%)

series1.7s (12.1%)

simplify243.0ms (1.7%)

prune376.0ms (2.6%)

regimes1.9s (13.1%)

bsearch168.0ms (1.2%)

simplify7.0ms (0%)

end0.0ms (0%)

sample3.1s (21.7%)

Profiling