Details

analyze184.0ms (2.7%)

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify435.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (339.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

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

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_10308`
9×	`pow1_binary64_10369` `add-sqr-sqrt_binary64_10330`
8×	`add-log-exp_binary64_10347` `distribute-lft-out_binary64_10259`
7×	`associate-r_binary64_10248` `add-cube-cbrt_binary64_10343`
5×	`associate-+r+_binary64_10240` `add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
4×	`log-pow_binary64_10397` `distribute-lft-out--_binary64_10260` `associate-+l+_binary64_10241`
3×	`sum-log_binary64_10399` `flip-+_binary64_10282` `associate-l_binary64_10249` `log-prod_binary64_10394` `flip3-+_binary64_10311` `cancel-sign-sub-inv_binary64_10274`
2×	`distribute-lft-in_binary64_10257` `associate-*r/_binary64_10250` `distribute-rgt-in_binary64_10258` `+-commutative_binary64_10238`
1×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `sub-neg_binary64_10301` `pow-prod-down_binary64_10379` `diff-log_binary64_10400` `*-commutative_binary64_10239` `unswap-sqr_binary64_10276` `associate-+l-_binary64_10243`

Counts

3 → 63

Calls

6 calls:

11.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
6.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
0.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series497.0ms (7.3%)

Counts

3 → 30

Calls

3 calls:

303.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
145.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
49.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 584 to 510 computations (12.7% saved)

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5370	1270

prune129.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Error

0.0b

Counts

94 → 8

Compiler

Compiled 1584 to 978 computations (38.3% saved)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(*.f64 y (log.f64 z))
0.1b	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
0.0b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
0.0b	(*.f64 y (-.f64 1 z))
0.0b	(*.f64 y (-.f64 1 z))
0.0b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
0.1b	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
0.3b	(*.f64 y (log.f64 z))

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_10330`
19×	`*-un-lft-identity_binary64_10308`
16×	`add-cube-cbrt_binary64_10343`
14×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258`
12×	`log-prod_binary64_10394` `cancel-sign-sub-inv_binary64_10274`
11×	`add-log-exp_binary64_10347`
10×	`associate-r_binary64_10248`
9×	`pow1_binary64_10369`
8×	`add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346` `associate-+l+_binary64_10241`
7×	`associate-+r+_binary64_10240`
6×	`associate-l_binary64_10249`
4×	`sum-log_binary64_10399` `sub-neg_binary64_10301`
2×	`cbrt-unprod_binary64_10341` `associate-r/_binary64_10250` `prod-exp_binary64_10357` `flip-+_binary64_10282` `+-commutative_binary64_10238` `pow-prod-down_binary64_10379` `flip3-+_binary64_10311` `-commutative_binary64_10239` `unswap-sqr_binary64_10276` `difference-of-squares_binary64_10277`
1×	`flip--_binary64_10283` `log-pow_binary64_10397` `distribute-lft-out_binary64_10259` `flip3--_binary64_10312` `distribute-lft-out--_binary64_10260`

Counts

4 → 95

Calls

8 calls:

10.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
9.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
7.0ms	(*.f64 y (-.f64 1 z))
5.0ms	(*.f64 y (log.f64 z))
0.0ms	(*.f64 y (-.f64 1 z))

series651.0ms (9.6%)

Counts

4 → 40

Calls

4 calls:

301.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
158.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
130.0ms	(*.f64 y (log.f64 z))
61.0ms	(*.f64 y (-.f64 1 z))

Compiler

Compiled 883 to 754 computations (14.6% saved)

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4968	1628
1	4968	1628

prune143.0ms (2.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	136	7	143

Error

0.0b

Counts

143 → 7

Compiler

Compiled 2363 to 1274 computations (46.1% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (+.f64 (log.f64 (sqrt.f64 z)) (-.f64 1 z))) (*.f64 (log.f64 (sqrt.f64 z)) y)))
0.0b	(log.f64 (sqrt.f64 z))
0.0b	(log.f64 (sqrt.f64 z))
0.0b	(+.f64 (log.f64 (sqrt.f64 z)) (-.f64 1 z))
0.0b	(log.f64 (sqrt.f64 z))
0.1b	(+.f64 (.f64 y (+.f64 (log.f64 (sqrt.f64 z)) (-.f64 1 z))) (.f64 (log.f64 (sqrt.f64 z)) y))
0.2b	(*.f64 y (+.f64 (log.f64 (sqrt.f64 z)) (-.f64 1 z)))
0.3b	(*.f64 (log.f64 (sqrt.f64 z)) y)

rewrite40.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_10308`
14×	`pow1_binary64_10369` `add-sqr-sqrt_binary64_10330`
10×	`associate-r_binary64_10248` `add-cube-cbrt_binary64_10343`
9×	`associate-l_binary64_10249` `add-exp-log_binary64_10346`
8×	`log-pow_binary64_10397` `add-cbrt-cube_binary64_10344`
6×	`add-log-exp_binary64_10347` `log-prod_binary64_10394`
4×	`distribute-lft-out_binary64_10259`
3×	`sqrt-prod_binary64_10324`
2×	`cbrt-unprod_binary64_10341` `distribute-lft-in_binary64_10257` `associate-r/_binary64_10250` `prod-exp_binary64_10357` `distribute-rgt-in_binary64_10258` `sqrt-pow1_binary64_10326` `flip-+_binary64_10282` `pow-prod-down_binary64_10379` `flip3-+_binary64_10311` `distribute-lft-out--_binary64_10260` `associate-+l+_binary64_10241` `-commutative_binary64_10239` `unswap-sqr_binary64_10276` `pow1/2_binary64_10388`
1×	`sum-log_binary64_10399` `rem-log-exp_binary64_10349` `+-commutative_binary64_10238`

Counts

4 → 77

Calls

8 calls:

11.0ms	(*.f64 y (+.f64 (log.f64 (sqrt.f64 z)) (-.f64 1 z)))
11.0ms	(+.f64 (.f64 y (+.f64 (log.f64 (sqrt.f64 z)) (-.f64 1 z))) (.f64 (log.f64 (sqrt.f64 z)) y))
9.0ms	(*.f64 (log.f64 (sqrt.f64 z)) y)
2.0ms	(log.f64 (sqrt.f64 z))
0.0ms	(+.f64 (log.f64 (sqrt.f64 z)) (-.f64 1 z))

series382.0ms (5.6%)

Counts

4 → 21

Calls

4 calls:

156.0ms	(+.f64 (.f64 y (+.f64 (log.f64 (sqrt.f64 z)) (-.f64 1 z))) (.f64 (log.f64 (sqrt.f64 z)) y))
113.0ms	(*.f64 y (+.f64 (log.f64 (sqrt.f64 z)) (-.f64 1 z)))
96.0ms	(*.f64 (log.f64 (sqrt.f64 z)) y)
16.0ms	(log.f64 (sqrt.f64 z))

Compiler

Compiled 818 to 670 computations (18.1% saved)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5120	1287

prune123.0ms (1.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	98	7	105

Error

Counts

105 → 7

Compiler

Compiled 2389 to 1175 computations (50.8% saved)

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(+.f64 (.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z))) (*.f64 (log.f64 (cbrt.f64 z)) y))
0.1b	(.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
0.0b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z))) (.f64 (log.f64 (cbrt.f64 z)) y)))
0.0b	(+.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z))
0.1b	(.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
0.2b	(*.f64 (log.f64 (cbrt.f64 z)) y)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_10330`
10×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
9×	`pow1_binary64_10369`
8×	`associate-l_binary64_10249` `add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
6×	`cbrt-prod_binary64_10339` `associate-r_binary64_10248`
4×	`add-log-exp_binary64_10347`
3×	`pow1/3_binary64_10390`
2×	`cbrt-unprod_binary64_10341` `associate-r/_binary64_10250` `prod-exp_binary64_10357` `log-pow_binary64_10397` `pow-prod-down_binary64_10379` `-commutative_binary64_10239` `unswap-sqr_binary64_10276`
1×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258` `flip-+_binary64_10282` `flip3-+_binary64_10311`

Counts

4 → 64

Calls

8 calls:

10.0ms	(.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
4.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
0.0ms	(+.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z))

series698.0ms (10.3%)

Counts

4 → 20

Calls

4 calls:

286.0ms	(.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
260.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
79.0ms	(cbrt.f64 z)
72.0ms	(cbrt.f64 z)

Compiler

Compiled 873 to 752 computations (13.9% saved)

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5044	924

prune103.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Error

Counts

91 → 7

Compiler

Compiled 2064 to 1070 computations (48.2% saved)

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	1995	1070
1	1995	1070

regimes455.0ms (6.7%)

Compiler: Compiled 4922 to 3951 computations (19.7% saved)

bsearch0.0ms (0%)

regimes296.0ms (4.4%)

Compiler: Compiled 426 to 528 computations (-23.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 6 to 7 computations (-16.7% saved)

regimes234.0ms (3.5%)

Compiler: Compiled 246 to 360 computations (-46.3% saved)

bsearch74.0ms (1.1%)

Steps

Iters	Range		Point
9	3.6997456632001844e+43	5.462346738284207e+52	1.5280087989140155e+44
7	-2.56839001710032e+117	-1.2267714972930798e+116	-1.2954443684393733e+116

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes48.0ms (0.7%)

Compiler: Compiled 80 to 144 computations (-80% saved)

bsearch0.0ms (0%)

regimes117.0ms (1.7%)

Compiler: Compiled 52 to 116 computations (-123.1% saved)

bsearch60.0ms (0.9%)

Steps

Iters	Range		Point
8	1.9086462440516057e-116	4.714218028174291e-113	4.362766265246417e-116
9	-8.50609968979573e-115	-1.194103273059004e-123	-5.056455140050101e-117

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes42.0ms (0.6%)

Compiler: Compiled 36 to 96 computations (-166.7% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.4%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes29.0ms (0.4%)

Accuracy

Total 0.1b remaining (97%)

Threshold costs 0.1b (97%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 103 to 92 computations (10.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	75	139
1	75	139

end0.0ms (0%)

sample1.4s (21.4%)

Algorithm

1×

intervals

Results

394.0ms	8000×	body	128	valid
14.0ms	295×	body	128	invalid
6.0ms	67×	body	128	nan

Compiler

Compiled 813 to 666 computations (18.1% saved)

Pareto

0.6524911758844925

Details

analyze184.0ms (2.7%)

sample23.0ms (0.3%)

simplify435.0ms (6.4%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite31.0ms (0.5%)

series497.0ms (7.3%)

simplify73.0ms (1.1%)

prune129.0ms (1.9%)

localize11.0ms (0.2%)

rewrite38.0ms (0.6%)

series651.0ms (9.6%)

simplify83.0ms (1.2%)

prune143.0ms (2.1%)

localize14.0ms (0.2%)

rewrite40.0ms (0.6%)

series382.0ms (5.6%)

simplify77.0ms (1.1%)

prune123.0ms (1.8%)

localize16.0ms (0.2%)

rewrite23.0ms (0.3%)

series698.0ms (10.3%)

simplify73.0ms (1.1%)

prune103.0ms (1.5%)

simplify72.0ms (1.1%)

regimes455.0ms (6.7%)

bsearch0.0ms (0%)

regimes296.0ms (4.4%)

bsearch1.0ms (0%)

regimes234.0ms (3.5%)

bsearch74.0ms (1.1%)

regimes48.0ms (0.7%)

bsearch0.0ms (0%)

regimes117.0ms (1.7%)

bsearch60.0ms (0.9%)

regimes42.0ms (0.6%)

bsearch0.0ms (0%)

regimes27.0ms (0.4%)

bsearch0.0ms (0%)

regimes29.0ms (0.4%)

bsearch7.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (21.4%)

Profiling