Details

analyze1.5s (11.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4964	384
1	4964	384
0	6	6
1	6	6

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%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

Symmetry

(sort x y)

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample54.0ms (0.4%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
2.0ms	33×	body	128	invalid
1.0ms	29×	body	128	nan

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify587.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (580.0ms)

Iter	Nodes	Cost
0	3701	24
1	3701	24

prune5.0ms (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 32 to 30 computations (6.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite174.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-log-exp_binary64_10347`
18×	`add-sqr-sqrt_binary64_10330`
14×	`*-un-lft-identity_binary64_10308`
12×	`add-cube-cbrt_binary64_10343` `log-prod_binary64_10394`
10×	`sum-log_binary64_10399`
9×	`pow1_binary64_10369`
8×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344` `associate-l_binary64_10249`
7×	`associate-r_binary64_10248`
6×	`distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257` `diff-log_binary64_10400` `flip3--_binary64_10312` `flip--_binary64_10283` `associate--r+_binary64_10244` `associate-*l/_binary64_10251`
4×	`frac-add_binary64_10316`
3×	`associate-+l+_binary64_10241`
2×	`pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `*-commutative_binary64_10239` `sub-neg_binary64_10301` `cancel-sign-sub-inv_binary64_10274` `associate--l+_binary64_10245`
1×	`log-pow_binary64_10397` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260` `flip3-+_binary64_10311` `flip-+_binary64_10282` `associate-+l-_binary64_10243` `+-commutative_binary64_10238`

Counts

4 → 90

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
10.0ms	(*.f64 (-.f64 a 1/2) b)
5.0ms	(*.f64 z (log.f64 t))

Compiler

Compiled 2397 to 796 computations (66.8% saved)

series1.5s (10.9%)

Error

0.1b

Counts

4 → 69

Calls

4 calls:

741.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
399.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
156.0ms	(*.f64 z (log.f64 t))
89.0ms	(*.f64 (-.f64 a 1/2) b)

Compiler

Compiled 2695 to 1968 computations (27% saved)

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5219	2736

prune210.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	152	7	159
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	7	160

Error

0.0b

Counts

160 → 7

Compiler

Compiled 3256 to 1186 computations (63.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite170.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`log-prod_binary64_10394`
36×	`distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257`
30×	`cbrt-prod_binary64_10339`
26×	`add-sqr-sqrt_binary64_10330`
24×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308` `associate-+l+_binary64_10241`
12×	`associate-+r+_binary64_10240`
7×	`pow1_binary64_10369`
6×	`add-log-exp_binary64_10347` `add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
5×	`associate-r_binary64_10248`
3×	`pow1/3_binary64_10390` `associate-l_binary64_10249`
2×	`log-pow_binary64_10397`
1×	`sum-log_binary64_10399` `flip3-+_binary64_10311` `flip-+_binary64_10282` `distribute-lft-out_binary64_10259` `+-commutative_binary64_10238` `pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `*-commutative_binary64_10239`

Counts

4 → 102

Calls

4 calls:

16.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
3.0ms	(cbrt.f64 t)
2.0ms	(cbrt.f64 t)

Compiler

Compiled 3356 to 1297 computations (61.4% saved)

series824.0ms (6.2%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

328.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
281.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
95.0ms	(cbrt.f64 t)
94.0ms	(cbrt.f64 t)

Compiler

Compiled 1368 to 1082 computations (20.9% saved)

simplify139.0ms (1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	5074	1320

prune191.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	121	6	127

Error

0.0b

Counts

127 → 6

Compiler

Compiled 3494 to 1469 computations (58% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (log.f64 (pow.f64 t 1/3)))
0.3b	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (pow.f64 t 1/3))))
0.6b	(cbrt.f64 t)
5.0b	(pow.f64 t 1/3)

rewrite303.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

52×	`log-prod_binary64_10394`
38×	`distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257`
27×	`add-sqr-sqrt_binary64_10330`
25×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
24×	`associate-+l+_binary64_10241`
15×	`unpow-prod-down_binary64_10387` `cbrt-prod_binary64_10339`
14×	`associate-+r+_binary64_10240`
7×	`pow1_binary64_10369` `add-exp-log_binary64_10346`
6×	`add-log-exp_binary64_10347` `add-cbrt-cube_binary64_10344`
5×	`sqr-pow_binary64_10280`
4×	`associate-r_binary64_10248`
3×	`pow-unpow_binary64_10385` `associate-l_binary64_10249`
1×	`pow-pow_binary64_10380` `pow-to-exp_binary64_10377` `pow-exp_binary64_10376` `unpow1/3_binary64_10375` `pow1/3_binary64_10390` `sum-log_binary64_10399` `flip3-+_binary64_10311` `flip-+_binary64_10282` `distribute-lft-out_binary64_10259` `+-commutative_binary64_10238` `pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `log-pow_binary64_10397` `*-commutative_binary64_10239`

Counts

4 → 112

Calls

4 calls:

18.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (pow.f64 t 1/3))))
12.0ms	(*.f64 z (log.f64 (pow.f64 t 1/3)))
2.0ms	(pow.f64 t 1/3)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 3837 to 2069 computations (46.1% saved)

series931.0ms (7%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

392.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (pow.f64 t 1/3))))
350.0ms	(*.f64 z (log.f64 (pow.f64 t 1/3)))
87.0ms	(pow.f64 t 1/3)
74.0ms	(cbrt.f64 t)

Compiler

Compiled 1431 to 1147 computations (19.8% saved)

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5007	1237

prune220.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	130	6	136

Error

0.0b

Counts

136 → 6

Compiler

Compiled 3704 to 1703 computations (54% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite135.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-log-exp_binary64_10347`
14×	`add-sqr-sqrt_binary64_10330`
10×	`*-un-lft-identity_binary64_10308`
9×	`pow1_binary64_10369` `associate-l_binary64_10249` `sum-log_binary64_10399`
8×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344` `add-cube-cbrt_binary64_10343`
6×	`associate-r_binary64_10248` `associate-*l/_binary64_10251`
4×	`diff-log_binary64_10400` `flip3--_binary64_10312` `flip--_binary64_10283` `frac-add_binary64_10316`
3×	`flip3-+_binary64_10311` `flip-+_binary64_10282`
2×	`pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `*-commutative_binary64_10239` `associate-+l-_binary64_10243`
1×	`log-pow_binary64_10397` `sub-neg_binary64_10301` `cancel-sign-sub-inv_binary64_10274` `associate--l+_binary64_10245` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260` `associate-+l+_binary64_10241` `+-commutative_binary64_10238`

Counts

4 → 75

Calls

4 calls:

15.0ms	(+.f64 (+.f64 (-.f64 (+.f64 z y) (.f64 (log.f64 t) z)) x) (.f64 (-.f64 a 1/2) b))
7.0ms	(*.f64 (-.f64 a 1/2) b)
6.0ms	(-.f64 (+.f64 z y) (*.f64 (log.f64 t) z))
6.0ms	(*.f64 (log.f64 t) z)

Compiler

Compiled 2042 to 725 computations (64.5% saved)

series1.4s (10.4%)

Error

Counts

4 → 63

Calls

4 calls:

728.0ms	(+.f64 (+.f64 (-.f64 (+.f64 z y) (.f64 (log.f64 t) z)) x) (.f64 (-.f64 a 1/2) b))
329.0ms	(-.f64 (+.f64 z y) (*.f64 (log.f64 t) z))
193.0ms	(*.f64 (log.f64 t) z)
84.0ms	(*.f64 (-.f64 a 1/2) b)

Compiler

Compiled 2511 to 1828 computations (27.2% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5512	2331

prune128.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	138	6	144

Error

0.0b

Counts

144 → 6

Compiler

Compiled 2667 to 943 computations (64.6% saved)

regimes1.8s (13.4%)

Accuracy

Total 0.1b remaining (95.9%)

Threshold costs 0.1b (95.9%)

Compiler

Compiled 15221 to 13268 computations (12.8% saved)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	108	40
1	108	40

Remove

(sort x y)

Compiler

Compiled 52 to 46 computations (11.5% saved)

end0.0ms (0%)

sample2.7s (20.3%)

Algorithm

1×

intervals

Results

581.0ms	7997×	body	128	valid
86.0ms	1249×	body	128	invalid
74.0ms	1156×	body	128	nan
1.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 1245 to 1084 computations (12.9% saved)

Details

analyze1.5s (11.7%)

sample54.0ms (0.4%)

simplify587.0ms (4.4%)

prune5.0ms (0%)

localize13.0ms (0.1%)

rewrite174.0ms (1.3%)

series1.5s (10.9%)

simplify99.0ms (0.7%)

prune210.0ms (1.6%)

localize20.0ms (0.2%)

rewrite170.0ms (1.3%)

series824.0ms (6.2%)

simplify139.0ms (1%)

prune191.0ms (1.4%)

localize30.0ms (0.2%)

rewrite303.0ms (2.3%)

series931.0ms (7%)

simplify101.0ms (0.8%)

prune220.0ms (1.7%)

localize16.0ms (0.1%)

rewrite135.0ms (1%)

series1.4s (10.4%)

simplify69.0ms (0.5%)

prune128.0ms (1%)

regimes1.8s (13.4%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

end0.0ms (0%)

sample2.7s (20.3%)

Profiling