Details

analyze1.8s (13.4%)

Algorithm

1×

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
3.1%	96.5%	0.3%	9
4.7%	95%	0.3%	10
4.7%	95%	0.3%	11
5.1%	82.1%	12.8%	12
6.2%	74.7%	19%	13
6.4%	74.5%	19%	14

Compiler

Compiled 34 to 30 computations (11.8% saved)

sample65.0ms (0.5%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	128	valid
14.0ms	141×	body	128	nan

Compiler

Compiled 67 to 66 computations (1.5% saved)

simplify143.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5053	44

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 2.2b

Counts

2 → 1

Compiler

Compiled 58 to 50 computations (13.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (sqrt.f64 (+.f64 t a)))
0.4b	(/.f64 2/3 t)
1.6b	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
4.1b	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)

rewrite56.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_11353`
33×	`*-un-lft-identity_binary64_11331`
31×	`add-cube-cbrt_binary64_11366`
30×	`associate--r+_binary64_11267` `times-frac_binary64_11337`
27×	`cancel-sign-sub-inv_binary64_11297`
20×	`frac-sub_binary64_11340`
15×	`distribute-lft-in_binary64_11280` `distribute-rgt-in_binary64_11281`
13×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
9×	`flip3--_binary64_11335` `flip--_binary64_11306`
8×	`frac-times_binary64_11341` `associate-*r/_binary64_11273`
7×	`associate-r_binary64_11271`
6×	`pow1_binary64_11392` `add-log-exp_binary64_11370` `associate-/r*_binary64_11275`
5×	`flip3-+_binary64_11334` `flip-+_binary64_11305` `sqrt-prod_binary64_11347`
4×	`associate-/l*_binary64_11276` `div-inv_binary64_11328` `sqrt-div_binary64_11348`
3×	`div-exp_binary64_11382` `sub-neg_binary64_11324` `cbrt-undiv_binary64_11365` `associate-l_binary64_11272`
2×	`associate--l+_binary64_11268` `cbrt-unprod_binary64_11364` `associate-/l/_binary64_11278` `unswap-sqr_binary64_11299` `frac-2neg_binary64_11342` `associate-*l/_binary64_11274` `prod-exp_binary64_11380` `clear-num_binary64_11330`
1×	`*-commutative_binary64_11262` `distribute-lft-out_binary64_11282` `diff-log_binary64_11423` `pow-prod-down_binary64_11402`

Counts

4 → 131

Calls

4 calls:

18.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
8.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
8.0ms	(*.f64 z (sqrt.f64 (+.f64 t a)))
3.0ms	(/.f64 2/3 t)

series997.0ms (7.5%)

Counts

4 → 53

Calls

4 calls:

735.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
136.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
104.0ms	(*.f64 z (sqrt.f64 (+.f64 t a)))
22.0ms	(/.f64 2/3 t)

Compiler

Compiled 3350 to 2806 computations (16.2% saved)

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4966	4638
1	4966	4638

prune324.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	181	3	184
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	182	3	185

Merged error: 0.0b

Counts

185 → 3

Compiler

Compiled 7019 to 3514 computations (49.9% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
1.5b	(.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t)))
1.6b	(-.f64 (.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t))) (*.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))

rewrite95.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`add-sqr-sqrt_binary64_11353`
76×	`times-frac_binary64_11337`
61×	`*-un-lft-identity_binary64_11331`
60×	`frac-sub_binary64_11340`
49×	`add-cube-cbrt_binary64_11366`
46×	`associate-r_binary64_11271`
39×	`frac-times_binary64_11341`
31×	`cbrt-prod_binary64_11362`
30×	`associate--r+_binary64_11267`
28×	`sqrt-prod_binary64_11347`
27×	`cancel-sign-sub-inv_binary64_11297` `associate-*r/_binary64_11273`
25×	`add-exp-log_binary64_11369` `flip3--_binary64_11335` `flip--_binary64_11306`
21×	`associate-*l/_binary64_11274`
18×	`add-cbrt-cube_binary64_11367`
15×	`distribute-lft-in_binary64_11280` `distribute-rgt-in_binary64_11281`
10×	`unswap-sqr_binary64_11299`
9×	`flip3-+_binary64_11334` `flip-+_binary64_11305`
8×	`cbrt-unprod_binary64_11364` `prod-exp_binary64_11380`
7×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `associate-l_binary64_11272`
6×	`pow1_binary64_11392` `add-log-exp_binary64_11370` `distribute-lft-out_binary64_11282`
4×	`div-inv_binary64_11328`
3×	`sub-neg_binary64_11324`
2×	`associate--l+_binary64_11268` `pow1/3_binary64_11413`
1×	`*-commutative_binary64_11262` `diff-log_binary64_11423` `pow-prod-down_binary64_11402`

Counts

4 → 193

Calls

4 calls:

30.0ms	(.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t)))
26.0ms	(-.f64 (.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t))) (*.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series1.1s (8.5%)

Counts

4 → 45

Calls

4 calls:

771.0ms	(-.f64 (.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t))) (*.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
159.0ms	(.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t)))
106.0ms	(cbrt.f64 t)
97.0ms	(cbrt.f64 t)

Compiler

Compiled 2977 to 2477 computations (16.8% saved)

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5351	8579

prune457.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	238	3	241

Merged error: 0.0b

Counts

241 → 3

Compiler

Compiled 10912 to 5264 computations (51.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)))
0.4b	(/.f64 2/3 t)
2.3b	(-.f64 (/.f64 (sqrt.f64 (+.f64 t a)) (.f64 z t)) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
6.0b	(/.f64 (sqrt.f64 (+.f64 t a)) (*.f64 z t))

rewrite80.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64_11331`
55×	`add-sqr-sqrt_binary64_11353`
53×	`cancel-sign-sub-inv_binary64_11297` `times-frac_binary64_11337`
46×	`add-cube-cbrt_binary64_11366`
30×	`associate--r+_binary64_11267` `distribute-lft-in_binary64_11280` `distribute-rgt-in_binary64_11281`
26×	`frac-sub_binary64_11340`
17×	`flip3--_binary64_11335` `flip--_binary64_11306`
16×	`frac-times_binary64_11341`
13×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
10×	`associate-/l*_binary64_11276`
8×	`associate-*r/_binary64_11273` `sqrt-prod_binary64_11347`
7×	`associate-r_binary64_11271` `flip3-+_binary64_11334` `flip-+_binary64_11305`
6×	`pow1_binary64_11392` `div-inv_binary64_11328` `add-log-exp_binary64_11370`
5×	`sub-neg_binary64_11324` `associate-l_binary64_11272`
4×	`associate--l+_binary64_11268` `associate-l/_binary64_11274` `associate-/r_binary64_11275`
3×	`distribute-lft-out--_binary64_11283` `div-exp_binary64_11382` `difference-of-squares_binary64_11300` `cbrt-undiv_binary64_11365` `distribute-lft-out_binary64_11282`
2×	`cbrt-unprod_binary64_11364` `associate-/l/_binary64_11278` `frac-2neg_binary64_11342` `sqrt-div_binary64_11348` `prod-exp_binary64_11380` `clear-num_binary64_11330`
1×	`*-commutative_binary64_11262` `unswap-sqr_binary64_11299` `diff-log_binary64_11423` `pow-prod-down_binary64_11402`

Counts

4 → 182

Calls

4 calls:

19.0ms	(*.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)))
19.0ms	(-.f64 (/.f64 (sqrt.f64 (+.f64 t a)) (.f64 z t)) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
8.0ms	(/.f64 (sqrt.f64 (+.f64 t a)) (*.f64 z t))
3.0ms	(/.f64 2/3 t)

series1.3s (9.5%)

Counts

4 → 67

Calls

4 calls:

732.0ms	(-.f64 (/.f64 (sqrt.f64 (+.f64 t a)) (.f64 z t)) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
348.0ms	(*.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t)))
158.0ms	(/.f64 (sqrt.f64 (+.f64 t a)) (*.f64 z t))
23.0ms	(/.f64 2/3 t)

Compiler

Compiled 4268 to 3536 computations (17.2% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5263	6945

prune446.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	249	3	252

Merged error: 0.0b

Counts

252 → 3

Compiler

Compiled 9711 to 4775 computations (50.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 y (pow.f64 (exp.f64 2) (/.f64 (+.f64 (.f64 z (sqrt.f64 a)) (*.f64 2/3 (-.f64 b c))) t)))
0.2b	(*.f64 z (sqrt.f64 a))
0.3b	(*.f64 2/3 (-.f64 b c))
1.5b	(/.f64 (+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c))) t)

rewrite40.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_11353`
26×	`*-un-lft-identity_binary64_11331`
22×	`add-cube-cbrt_binary64_11366`
19×	`associate-r_binary64_11271`
14×	`add-exp-log_binary64_11369`
12×	`add-cbrt-cube_binary64_11367`
9×	`associate-l_binary64_11272` `times-frac_binary64_11337`
8×	`pow1_binary64_11392`
7×	`unswap-sqr_binary64_11299`
6×	`cancel-sign-sub-inv_binary64_11297` `unpow-prod-down_binary64_11410`
5×	`prod-exp_binary64_11380`
4×	`distribute-lft-in_binary64_11280` `add-log-exp_binary64_11370` `distribute-rgt-in_binary64_11281` `sqrt-prod_binary64_11347`
3×	`-commutative_binary64_11262` `cbrt-unprod_binary64_11364` `associate-/l_binary64_11276` `associate-/r*_binary64_11275`
2×	`associate-/l/_binary64_11278` `sub-neg_binary64_11324` `associate-*r/_binary64_11273` `pow-prod-down_binary64_11402` `exp-lft-sqr_binary64_11386` `sqr-pow_binary64_11303`
1×	`distribute-lft-out--_binary64_11283` `div-exp_binary64_11382` `difference-of-squares_binary64_11300` `div-inv_binary64_11328` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `flip3--_binary64_11335` `flip3-+_binary64_11334` `flip-+_binary64_11305` `clear-num_binary64_11330` `pow-to-exp_binary64_11400` `pow-exp_binary64_11399` `flip--_binary64_11306`

Counts

4 → 108

Calls

4 calls:

8.0ms	(*.f64 2/3 (-.f64 b c))
8.0ms	(/.f64 (+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c))) t)
7.0ms	(.f64 y (pow.f64 (exp.f64 2) (/.f64 (+.f64 (.f64 z (sqrt.f64 a)) (*.f64 2/3 (-.f64 b c))) t)))
6.0ms	(*.f64 z (sqrt.f64 a))

series1.8s (13.2%)

Counts

4 → 71

Calls

4 calls:

1.2s	(.f64 y (pow.f64 (exp.f64 2) (/.f64 (+.f64 (.f64 z (sqrt.f64 a)) (*.f64 2/3 (-.f64 b c))) t)))
432.0ms	(/.f64 (+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c))) t)
83.0ms	(*.f64 2/3 (-.f64 b c))
56.0ms	(*.f64 z (sqrt.f64 a))

Compiler

Compiled 4262 to 3770 computations (11.5% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5143	4730

prune243.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	179	3	182

Merged error: 0.0b

Counts

182 → 3

Compiler

Compiled 5457 to 2751 computations (49.6% saved)

regimes1.2s (8.8%)

Compiler: Compiled 11200 to 9619 computations (14.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 24 to 23 computations (4.2% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	381	126
1	381	126

end0.0ms (0%)

sample2.8s (21.1%)

Algorithm

1×

intervals

Results

834.0ms	8000×	body	128	valid
504.0ms	4977×	body	128	nan

Compiler

Compiled 1056 to 869 computations (17.7% saved)

Details

analyze1.8s (13.4%)

sample65.0ms (0.5%)

simplify143.0ms (1.1%)

prune5.0ms (0%)

localize26.0ms (0.2%)

rewrite56.0ms (0.4%)

series997.0ms (7.5%)

simplify92.0ms (0.7%)

prune324.0ms (2.4%)

localize26.0ms (0.2%)

rewrite95.0ms (0.7%)

series1.1s (8.5%)

simplify100.0ms (0.8%)

prune457.0ms (3.4%)

localize22.0ms (0.2%)

rewrite80.0ms (0.6%)

series1.3s (9.5%)

simplify81.0ms (0.6%)

prune446.0ms (3.3%)

localize21.0ms (0.2%)

rewrite40.0ms (0.3%)

series1.8s (13.2%)

simplify65.0ms (0.5%)

prune243.0ms (1.8%)

regimes1.2s (8.8%)

bsearch2.0ms (0%)

simplify14.0ms (0.1%)

end0.0ms (0%)

sample2.8s (21.1%)

Profiling