Details

analyze101.0ms (2.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample58.0ms (1.5%)

Algorithm

1×

intervals

Results

30.0ms	79×	body	1024	valid
7.0ms	42×	body	512	valid
7.0ms	114×	body	128	valid
4.0ms	7×	body	2048	valid
1.0ms	14×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

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

36.0b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.1b	(log.f64 (+.f64 1 x))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

36.0b

Rules

4×	`log-prod_binary64_1187` `*-un-lft-identity_binary64_1101`
2×	`pow1_binary64_1162` `log-div_binary64_1188` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `add-exp-log_binary64_1139`
1×	`log-pow_binary64_1190` `flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-lft-out_binary64_1052` `rem-log-exp_binary64_1142` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 152 to 124 computations (18.4% saved)

series48.0ms (1.3%)

Error

0.1b

Counts

1 → 9

Calls

1 calls:

30.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 213 to 180 computations (15.5% saved)

simplify110.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5015	267

prune26.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Error

0.1b

Counts

25 → 2

Compiler

Compiled 220 to 158 computations (28.2% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/3 (*.f64 x -1/4))
0.0b	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
0.0b	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
0.2b	(.f64 x (+.f64 1/3 (.f64 x -1/4)))

rewrite137.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`add-sqr-sqrt_binary64_1123`
8×	`add-log-exp_binary64_1140`
7×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
6×	`associate-r_binary64_1041`
4×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `flip3-+_binary64_1104` `associate-r/_binary64_1043` `flip-+_binary64_1075` `associate-l*_binary64_1042`
3×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
2×	`unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `sum-log_binary64_1192` `associate-+r+_binary64_1033` `+-commutative_binary64_1031`

Counts

4 → 69

Calls

4 calls:

22.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
12.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
6.0ms	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
3.0ms	(+.f64 1/3 (*.f64 x -1/4))

Compiler

Compiled 1733 to 1139 computations (34.3% saved)

series172.0ms (4.5%)

Error

0.1b

Counts

4 → 25

Calls

4 calls:

53.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
38.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
31.0ms	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
31.0ms	(+.f64 1/3 (*.f64 x -1/4))

Compiler

Compiled 765 to 575 computations (24.8% saved)

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5660	1514

prune135.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	94	2	96

Error

0.1b

Counts

96 → 2

Compiler

Compiled 1815 to 1216 computations (33% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1/3 (*.f64 x 1/4))
0.0b	(+.f64 (+.f64 x (.f64 (pow.f64 x 3) (-.f64 1/3 (.f64 x 1/4)))) (.f64 -1/2 (.f64 x x)))
0.1b	(.f64 (pow.f64 x 3) (-.f64 1/3 (.f64 x 1/4)))

rewrite160.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_1123`
12×	`associate-l_binary64_1042`
10×	`add-log-exp_binary64_1140`
8×	`add-exp-log_binary64_1139`
7×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
5×	`add-cbrt-cube_binary64_1137`
4×	`unpow-prod-down_binary64_1180` `unswap-sqr_binary64_1069` `cube-prod_binary64_1129`
3×	`pow1_binary64_1162` `prod-exp_binary64_1150` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067` `associate-r_binary64_1041` `sum-log_binary64_1192`
2×	`sqr-pow_binary64_1073` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `flip3--_binary64_1105` `associate-*r/_binary64_1043` `flip--_binary64_1076`
1×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `unpow3_binary64_1167` `cube-mult_binary64_1131` `*-commutative_binary64_1032` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-+l+_binary64_1034` `+-commutative_binary64_1031` `diff-log_binary64_1193`

Counts

3 → 62

Calls

3 calls:

9.0ms	(.f64 (pow.f64 x 3) (-.f64 1/3 (.f64 x 1/4)))
7.0ms	(+.f64 (+.f64 x (.f64 (pow.f64 x 3) (-.f64 1/3 (.f64 x 1/4)))) (.f64 -1/2 (.f64 x x)))
3.0ms	(-.f64 1/3 (*.f64 x 1/4))

Compiler

Compiled 1642 to 1136 computations (30.8% saved)

series149.0ms (3.9%)

Error

0.1b

Counts

3 → 20

Calls

3 calls:

73.0ms	(.f64 (pow.f64 x 3) (-.f64 1/3 (.f64 x 1/4)))
32.0ms	(+.f64 (+.f64 x (.f64 (pow.f64 x 3) (-.f64 1/3 (.f64 x 1/4)))) (.f64 -1/2 (.f64 x x)))
31.0ms	(-.f64 1/3 (*.f64 x 1/4))

Compiler

Compiled 666 to 504 computations (24.3% saved)

simplify120.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4940	1302
1	4940	1302

prune117.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	2	84

Error

0.1b

Counts

84 → 2

Compiler

Compiled 1692 to 1150 computations (32% saved)

regimes124.0ms (3.2%)

Accuracy

Total 0.3b remaining (92.8%)

Threshold costs 0.3b (92.8%)

Compiler

Compiled 883 to 711 computations (19.5% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	43
1	29	43

end0.0ms (0%)

sample2.2s (58.6%)

Algorithm

1×

intervals

Results

1.0s	2623×	body	1024	valid
283.0ms	1374×	body	512	valid
135.0ms	259×	body	2048	valid
107.0ms	3085×	body	128	valid
70.0ms	659×	body	256	valid

Compiler

Compiled 306 to 240 computations (21.6% saved)

Details

analyze101.0ms (2.7%)

sample58.0ms (1.5%)

simplify7.0ms (0.2%)

prune2.0ms (0%)

localize3.0ms (0.1%)

rewrite18.0ms (0.5%)

series48.0ms (1.3%)

simplify110.0ms (2.9%)

prune26.0ms (0.7%)

localize18.0ms (0.5%)

rewrite137.0ms (3.6%)

series172.0ms (4.5%)

simplify63.0ms (1.6%)

prune135.0ms (3.5%)

localize10.0ms (0.3%)

rewrite160.0ms (4.2%)

series149.0ms (3.9%)

simplify120.0ms (3.1%)

prune117.0ms (3.1%)

regimes124.0ms (3.2%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.2s (58.6%)

Profiling