Details

analyze440.0ms (4.9%)

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
0%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
10.9%	45.6%	43.4%	10
18.3%	31.4%	50.3%	11
19.1%	29.5%	51.3%	12
21.4%	24.8%	53.8%	13
25.8%	16.7%	57.5%	14

Compiler

Compiled 25 to 21 computations (16% saved)

sample33.0ms (0.4%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
2.0ms	33×	body	128	invalid
1.0ms	15×	body	128	nan

Compiler

Compiled 49 to 44 computations (10.2% saved)

simplify443.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (276.0ms)

Iter	Nodes	Cost
0	5077	36

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 5.0b

Counts

2 → 1

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
4.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite53.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_13861` `*-un-lft-identity_binary64_13839`
22×	`add-cube-cbrt_binary64_13874`
18×	`log-prod_binary64_13925`
12×	`associate--l+_binary64_13776`
11×	`add-log-exp_binary64_13878`
10×	`associate-+l+_binary64_13772`
9×	`times-frac_binary64_13845` `distribute-lft-in_binary64_13788` `distribute-rgt-in_binary64_13789`
8×	`add-exp-log_binary64_13877` `add-cbrt-cube_binary64_13875`
7×	`pow1_binary64_13900`
6×	`cancel-sign-sub-inv_binary64_13805`
5×	`associate-l_binary64_13780`
4×	`associate-r_binary64_13779`
3×	`associate-/l_binary64_13784` `associate-/r_binary64_13783`
2×	`sub-neg_binary64_13832` `associate-/l/_binary64_13786` `flip--_binary64_13814` `flip3-+_binary64_13842` `diff-log_binary64_13931` `flip-+_binary64_13813` `associate-*l/_binary64_13782` `sum-log_binary64_13930` `flip3--_binary64_13843`
1×	`div-exp_binary64_13890` `associate-+l-_binary64_13774` `unswap-sqr_binary64_13807` `+-commutative_binary64_13769` `cbrt-undiv_binary64_13873` `cbrt-unprod_binary64_13872` `distribute-lft-out--_binary64_13791` `difference-of-squares_binary64_13808` `distribute-lft-out_binary64_13790` `*-commutative_binary64_13770` `clear-num_binary64_13838` `pow-prod-down_binary64_13910` `log-pow_binary64_13928` `prod-exp_binary64_13888` `div-inv_binary64_13836` `frac-2neg_binary64_13850`

Counts

4 → 102

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
12.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
9.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
8.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

series950.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

318.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
311.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
177.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
145.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4940	2164
1	4940	2164

prune657.0ms (7.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	103	11	114
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	12	115

Merged error: 1.8b

Counts

115 → 12

Compiler

Compiled 13389 to 10199 computations (23.8% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
4.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_13861` `add-cube-cbrt_binary64_13874` `*-un-lft-identity_binary64_13839`
9×	`times-frac_binary64_13845` `cbrt-prod_binary64_13870`
6×	`add-exp-log_binary64_13877` `add-cbrt-cube_binary64_13875`
4×	`pow1_binary64_13900` `add-log-exp_binary64_13878`
3×	`associate-/l_binary64_13784` `pow1/3_binary64_13921` `associate-/r_binary64_13783`
2×	`associate-/l/_binary64_13786`
1×	`div-exp_binary64_13890` `flip3-+_binary64_13842` `cbrt-undiv_binary64_13873` `flip-+_binary64_13813` `clear-num_binary64_13838` `div-inv_binary64_13836` `frac-2neg_binary64_13850`

Counts

4 → 62

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series607.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt.f64 x)
152.0ms	(cbrt.f64 x)
148.0ms	(cbrt.f64 x)
147.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5015	1143

prune189.0ms (2.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	74	12	86

Merged error: 1.8b

Counts

86 → 12

Compiler

Compiled 4256 to 2755 computations (35.3% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 x 1/2) (.f64 2 (log.f64 (cbrt.f64 x)))) (*.f64 (-.f64 x 1/2) (log.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
4.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite49.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`log-prod_binary64_13925`
30×	`distribute-lft-in_binary64_13788` `distribute-rgt-in_binary64_13789`
26×	`add-sqr-sqrt_binary64_13861` `add-cube-cbrt_binary64_13874` `*-un-lft-identity_binary64_13839`
24×	`associate-+l+_binary64_13772` `cbrt-prod_binary64_13870`
12×	`associate-+r+_binary64_13771`
9×	`times-frac_binary64_13845`
8×	`associate-*l/_binary64_13782`
6×	`add-log-exp_binary64_13878` `add-exp-log_binary64_13877` `add-cbrt-cube_binary64_13875`
4×	`pow1_binary64_13900` `flip--_binary64_13814` `frac-add_binary64_13847` `flip3--_binary64_13843`
3×	`associate-/l_binary64_13784` `associate-/r_binary64_13783`
2×	`associate-/l/_binary64_13786` `flip3-+_binary64_13842` `flip-+_binary64_13813` `pow1/3_binary64_13921`
1×	`div-exp_binary64_13890` `+-commutative_binary64_13769` `cbrt-undiv_binary64_13873` `distribute-lft-out_binary64_13790` `sum-log_binary64_13930` `clear-num_binary64_13838` `div-inv_binary64_13836` `frac-2neg_binary64_13850`

Counts

4 → 103

Calls

4 calls:

18.0ms	(+.f64 (.f64 (-.f64 x 1/2) (.f64 2 (log.f64 (cbrt.f64 x)))) (*.f64 (-.f64 x 1/2) (log.f64 (cbrt.f64 x))))
13.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series1.2s (13.3%)

Counts

4 → 12

Calls

4 calls:

740.0ms	(+.f64 (.f64 (-.f64 x 1/2) (.f64 2 (log.f64 (cbrt.f64 x)))) (*.f64 (-.f64 x 1/2) (log.f64 (cbrt.f64 x))))
157.0ms	(cbrt.f64 x)
155.0ms	(cbrt.f64 x)
141.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4885	2171
1	4885	2171

prune312.0ms (3.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	2	8	10
Picked	0	1	1
Done	1	0	1
Total	117	10	127

Merged error: 1.8b

Counts

127 → 10

Compiler

Compiled 6521 to 4469 computations (31.5% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))) (+.f64 -3/2 (*.f64 x 3))) x)
0.4b	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))) (+.f64 -3/2 (*.f64 x 3)))
0.6b	(cbrt.f64 (neg.f64 x))
4.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite49.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_13861`
18×	`add-cube-cbrt_binary64_13874` `*-un-lft-identity_binary64_13839`
10×	`cbrt-prod_binary64_13870`
9×	`times-frac_binary64_13845` `pow1_binary64_13900`
8×	`add-exp-log_binary64_13877` `add-cbrt-cube_binary64_13875`
6×	`add-log-exp_binary64_13878` `associate-l_binary64_13780`
3×	`associate-r_binary64_13779` `distribute-lft-neg-in_binary64_13796` `associate-/l_binary64_13784` `cancel-sign-sub-inv_binary64_13805` `distribute-rgt-neg-in_binary64_13797` `pow1/3_binary64_13921` `associate-/r_binary64_13783` `pow-prod-down_binary64_13910` `log-pow_binary64_13928`
2×	`associate-/l/_binary64_13786` `associate--l+_binary64_13776` `flip3-+_binary64_13842` `distribute-lft-in_binary64_13788` `flip-+_binary64_13813` `associate-*r/_binary64_13781` `distribute-rgt-in_binary64_13789`
1×	`div-exp_binary64_13890` `sub-neg_binary64_13832` `flip--_binary64_13814` `unswap-sqr_binary64_13807` `cbrt-undiv_binary64_13873` `diff-log_binary64_13931` `cbrt-unprod_binary64_13872` `*-commutative_binary64_13770` `clear-num_binary64_13838` `neg-mul-1_binary64_13835` `prod-exp_binary64_13888` `div-inv_binary64_13836` `frac-2neg_binary64_13850` `flip3--_binary64_13843`

Counts

4 → 88

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
12.0ms	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))) (+.f64 -3/2 (*.f64 x 3)))
11.0ms	(-.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))) (+.f64 -3/2 (*.f64 x 3))) x)
2.0ms	(cbrt.f64 (neg.f64 x))

series1.8s (20.5%)

Counts

4 → 12

Calls

4 calls:

974.0ms	(-.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))) (+.f64 -3/2 (*.f64 x 3))) x)
555.0ms	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))) (+.f64 -3/2 (*.f64 x 3)))
162.0ms	(cbrt.f64 (neg.f64 x))
153.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4956	2272
1	4956	2272

prune210.0ms (2.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	100	10	110

Merged error: 1.8b

Counts

110 → 10

Compiler

Compiled 4185 to 3037 computations (27.4% saved)

regimes223.0ms (2.5%)

Compiler: Compiled 2298 to 1878 computations (18.3% saved)

bsearch22.0ms (0.2%)

Steps

Iters	Range		Point
5	8428353.922686273	25351030.53258831	18638278.06879662

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	111	93
1	111	93

end0.0ms (0%)

sample1.3s (14.4%)

Algorithm

1×

intervals

Results

576.0ms	8000×	body	128	valid
89.0ms	1265×	body	128	invalid
49.0ms	707×	body	128	nan

Compiler

Compiled 418 to 337 computations (19.4% saved)

Details

analyze440.0ms (4.9%)

sample33.0ms (0.4%)

simplify443.0ms (4.9%)

prune6.0ms (0.1%)

localize17.0ms (0.2%)

rewrite53.0ms (0.6%)

series950.0ms (10.6%)

simplify75.0ms (0.8%)

prune657.0ms (7.3%)

localize24.0ms (0.3%)

rewrite24.0ms (0.3%)

series607.0ms (6.8%)

simplify57.0ms (0.6%)

prune189.0ms (2.1%)

localize22.0ms (0.3%)

rewrite49.0ms (0.5%)

series1.2s (13.3%)

simplify87.0ms (1%)

prune312.0ms (3.5%)

localize25.0ms (0.3%)

rewrite49.0ms (0.5%)

series1.8s (20.5%)

simplify70.0ms (0.8%)

prune210.0ms (2.3%)

regimes223.0ms (2.5%)

bsearch22.0ms (0.2%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.3s (14.4%)

Profiling