Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample80.0ms (1.6%)

Algorithm

1×

intervals

Results

43.0ms	119×	body	1024	valid
16.0ms	73×	body	512	valid
10.0ms	18×	body	2048	valid
4.0ms	32×	body	256	valid
1.0ms	14×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify334.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (233.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune4.0ms (0.1%)

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

Error

58.7b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_760`
52×	`add-sqr-sqrt_binary64_782`
48×	`times-frac_binary64_766`
30×	`log-prod_binary64_846`
25×	`add-cube-cbrt_binary64_795`
18×	`difference-of-squares_binary64_729`
13×	`distribute-lft-out_binary64_711`
9×	`distribute-lft-out--_binary64_712`
7×	`add-exp-log_binary64_798`
6×	`associate-/r*_binary64_704`
4×	`associate-/r/_binary64_706` `add-cbrt-cube_binary64_796` `associate-/l*_binary64_705`
3×	`pow1_binary64_821`
2×	`associate-/l/_binary64_707` `add-log-exp_binary64_799` `div-inv_binary64_757` `rem-log-exp_binary64_801` `div-exp_binary64_811` `flip--_binary64_735` `flip3--_binary64_764`
1×	`log-div_binary64_847` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `flip3-+_binary64_763` `flip-+_binary64_734` `log-pow_binary64_849` `clear-num_binary64_759`

Counts

2 → 91

Calls

2 calls:

9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series70.0ms (1.4%)

Counts

2 → 14

Calls

2 calls:

42.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
27.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 198 to 192 computations (3% saved)

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5617	1927

prune121.0ms (2.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	3	106

Error

Counts

106 → 3

Compiler

Compiled 1791 to 1424 computations (20.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_782`
15×	`associate-l_binary64_701`
13×	`add-exp-log_binary64_798`
10×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `associate-r*_binary64_700`
8×	`unpow-prod-down_binary64_839`
7×	`unswap-sqr_binary64_728` `add-cbrt-cube_binary64_796`
6×	`prod-exp_binary64_809`
5×	`add-log-exp_binary64_799`
4×	`sqr-pow_binary64_732` `cube-prod_binary64_788`
3×	`pow1_binary64_821`
2×	`pow-exp_binary64_828` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`cube-mult_binary64_790` `flip3-+_binary64_763` `unpow3_binary64_826` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

3 → 67

Calls

3 calls:

6.0ms	(*.f64 (pow.f64 x 3) 2/3)
6.0ms	(*.f64 2/5 (pow.f64 x 5))
5.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))

series175.0ms (3.5%)

Counts

3 → 12

Calls

3 calls:

97.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
43.0ms	(*.f64 2/5 (pow.f64 x 5))
34.0ms	(*.f64 (pow.f64 x 3) 2/3)

Compiler

Compiled 339 to 279 computations (17.7% saved)

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5097	919

prune92.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	79	3	82

Error

Counts

82 → 3

Compiler

Compiled 1723 to 1253 computations (27.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
0.1b	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3))
5.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64_760`
60×	`add-sqr-sqrt_binary64_782`
48×	`times-frac_binary64_766`
33×	`add-cube-cbrt_binary64_795`
30×	`log-prod_binary64_846`
18×	`difference-of-squares_binary64_729`
14×	`cbrt-prod_binary64_791`
13×	`distribute-lft-out_binary64_711`
10×	`add-exp-log_binary64_798` `pow1_binary64_821`
9×	`distribute-lft-out--_binary64_712`
8×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
7×	`add-cbrt-cube_binary64_796`
6×	`associate-/r*_binary64_704`
5×	`log-pow_binary64_849`
4×	`associate-/r/_binary64_706` `add-log-exp_binary64_799` `associate-/l*_binary64_705`
3×	`pow-unpow_binary64_837`
2×	`cube-mult_binary64_790` `associate-/l/_binary64_707` `unpow3_binary64_826` `div-inv_binary64_757` `rem-log-exp_binary64_801` `sqr-pow_binary64_732` `div-exp_binary64_811` `flip--_binary64_735` `flip3--_binary64_764`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `log-div_binary64_847` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `flip3-+_binary64_763` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `flip-+_binary64_734` `pow-to-exp_binary64_829` `clear-num_binary64_759` `pow-pow_binary64_832`

Counts

4 → 139

Calls

4 calls:

10.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
3.0ms	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3))
3.0ms	(pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)

series150.0ms (3%)

Counts

4 → 26

Calls

4 calls:

53.0ms	(pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
38.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
36.0ms	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3))
22.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 450 to 436 computations (3.1% saved)

simplify81.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4983	2966
1	4983	2966

prune191.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	165	3	168

Error

Counts

168 → 3

Compiler

Compiled 3073 to 2568 computations (16.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
0.0b	(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))
0.3b	(exp.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
5.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`log-prod_binary64_846`
48×	`*-un-lft-identity_binary64_760`
38×	`add-sqr-sqrt_binary64_782`
24×	`add-cube-cbrt_binary64_795` `times-frac_binary64_766`
16×	`exp-sum_binary64_806`
14×	`pow1_binary64_821`
12×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
11×	`cbrt-prod_binary64_791`
9×	`add-exp-log_binary64_798`
8×	`difference-of-squares_binary64_729` `log-pow_binary64_849`
6×	`distribute-lft-out_binary64_711` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
4×	`distribute-lft-out--_binary64_712` `associate-r_binary64_700`
3×	`associate-l_binary64_701`
2×	`associate-/r/_binary64_706` `rem-log-exp_binary64_801`
1×	`pow1/3_binary64_842` `log-div_binary64_847` `unswap-sqr_binary64_728` `prod-exp_binary64_809` `exp-prod_binary64_812` `rem-exp-log_binary64_800` `div-inv_binary64_757` `exp-to-pow_binary64_822` `cbrt-unprod_binary64_793` `div-exp_binary64_811` `pow-prod-down_binary64_831` `*-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 105

Calls

4 calls:

10.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
5.0ms	(*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
3.0ms	(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))
3.0ms	(exp.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))

series196.0ms (4%)

Counts

4 → 24

Calls

4 calls:

60.0ms	(*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
48.0ms	(exp.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
44.0ms	(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))
44.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Compiler

Compiled 456 to 440 computations (3.5% saved)

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4910	2478
1	4910	2478

prune146.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	129	3	132

Error

Counts

132 → 3

Compiler

Compiled 2506 to 2141 computations (14.6% saved)

regimes132.0ms (2.7%)

Accuracy

Total 0.2b remaining (95.5%)

Threshold costs 0.2b (95.5%)

Compiler

Compiled 1364 to 1194 computations (12.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample2.8s (56.7%)

Algorithm

1×

intervals

Results

1.5s	3983×	body	1024	valid
428.0ms	1988×	body	512	valid
226.0ms	421×	body	2048	valid
131.0ms	1024×	body	256	valid
36.0ms	584×	body	128	valid

Compiler

Compiled 316 to 276 computations (12.7% saved)

Details

analyze5.0ms (0.1%)

sample80.0ms (1.6%)

simplify334.0ms (6.8%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite25.0ms (0.5%)

series70.0ms (1.4%)

simplify76.0ms (1.5%)

prune121.0ms (2.5%)

localize10.0ms (0.2%)

rewrite25.0ms (0.5%)

series175.0ms (3.5%)

simplify66.0ms (1.3%)

prune92.0ms (1.9%)

localize9.0ms (0.2%)

rewrite35.0ms (0.7%)

series150.0ms (3%)

simplify81.0ms (1.7%)

prune191.0ms (3.9%)

localize11.0ms (0.2%)

rewrite32.0ms (0.7%)

series196.0ms (4%)

simplify63.0ms (1.3%)

prune146.0ms (3%)

regimes132.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.8s (56.7%)

Profiling