Details

analyze94.0ms (1.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	91
1	136	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample46.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
6.0ms	256×	body	128	valid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	136	13
1	136	13

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

3.9b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(+.f64 b (+.f64 c d))
3.0b	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

16×	`add-log-exp_binary64_2163` `*-un-lft-identity_binary64_2124`
9×	`sum-log_binary64_2215` `distribute-lft-out_binary64_2075`
2×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-+r+_binary64_2056` `+-commutative_binary64_2054`

Counts

2 → 32

Calls

2 calls:

8.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
5.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 493 to 177 computations (64.1% saved)

series175.0ms (2.9%)

Error

3.0b

Counts

2 → 42

Calls

2 calls:

91.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
65.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 773 to 626 computations (19% saved)

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4960	645
1	4960	645

prune53.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	67	7	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	7	75

Error

2.2b

Counts

75 → 7

Compiler

Compiled 877 to 345 computations (60.7% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.0b	(+.f64 d (+.f64 (+.f64 b c) a))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

10×	`add-log-exp_binary64_2163` `*-un-lft-identity_binary64_2124`
6×	`sum-log_binary64_2215` `distribute-lft-out_binary64_2075`
1×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-+r+_binary64_2056` `+-commutative_binary64_2054`

Counts

1 → 17

Calls

1 calls:

8.0ms

(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 269 to 95 computations (64.7% saved)

series105.0ms (1.7%)

Error

2.2b

Counts

1 → 24

Calls

1 calls:

95.0ms

(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 428 to 356 computations (16.8% saved)

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5023	401

prune32.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Error

1.8b

Counts

48 → 8

Compiler

Compiled 566 to 231 computations (59.2% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))
3.0b	(+.f64 d (+.f64 (+.f64 b c) a))

rewrite71.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

32×	`*-un-lft-identity_binary64_2124`
18×	`distribute-lft-out_binary64_2075` `cbrt-prod_binary64_2155`
11×	`add-log-exp_binary64_2163`
6×	`sum-log_binary64_2215` `unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
5×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
2×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3-+_binary64_2127` `flip-+_binary64_2098` `cube-div_binary64_2153` `cbrt-div_binary64_2156`
1×	`associate-+r+_binary64_2056` `+-commutative_binary64_2054` `pow1/3_binary64_2206` `unpow3_binary64_2190` `cube-mult_binary64_2154` `sqr-pow_binary64_2096` `rem-cbrt-cube_binary64_2148`

Counts

2 → 46

Calls

2 calls:

9.0ms	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))
9.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 980 to 416 computations (57.6% saved)

series227.0ms (3.7%)

Error

1.8b

Counts

2 → 48

Calls

2 calls:

106.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
98.0ms	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))

Compiler

Compiled 1036 to 880 computations (15.1% saved)

simplify30.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5014	1085

prune78.0ms (1.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	87	7	94
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	88	14	102

Error

1.7b

Counts

102 → 14

Compiler

Compiled 1477 to 653 computations (55.8% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3)) 3))
0.6b	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3))
3.0b	(+.f64 (+.f64 a (+.f64 b c)) d)

rewrite186.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

102×	`cbrt-prod_binary64_2155`
78×	`*-un-lft-identity_binary64_2124`
42×	`distribute-lft-out_binary64_2075`
39×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
15×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
12×	`add-log-exp_binary64_2163`
6×	`sum-log_binary64_2215` `cube-div_binary64_2153` `cbrt-div_binary64_2156`
4×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `sqr-pow_binary64_2096`
3×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`pow1/3_binary64_2206` `rem-cbrt-cube_binary64_2148`
1×	`associate-+l+_binary64_2057` `+-commutative_binary64_2054`

Counts

3 → 105

Calls

3 calls:

16.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3)) 3))
9.0ms	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3))
9.0ms	(+.f64 (+.f64 a (+.f64 b c)) d)

Compiler

Compiled 2846 to 1467 computations (48.5% saved)

series356.0ms (5.9%)

Error

1.7b

Counts

3 → 72

Calls

3 calls:

108.0ms	(+.f64 (+.f64 a (+.f64 b c)) d)
105.0ms	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3))
101.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3)) 3))

Compiler

Compiled 1824 to 1584 computations (13.2% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4970	2448
1	4970	2448

prune129.0ms (2.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	173	4	177
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	177	14	191

Error

1.7b

Counts

191 → 14

Compiler

Compiled 2640 to 1112 computations (57.9% saved)

regimes1.3s (21.2%)

Accuracy

Total 0.8b remaining (53.6%)

Threshold costs 0.8b (53.6%)

Compiler

Compiled 13473 to 9561 computations (29% saved)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	18	21

Compiler

Compiled 26 to 26 computations (0% saved)

end0.0ms (0%)

sample2.9s (47.3%)

Algorithm

1×

intervals

Results

331.0ms	8000×	pre	128	true
238.0ms	8000×	body	128	valid

Compiler

Compiled 1684 to 1204 computations (28.5% saved)

Details

analyze94.0ms (1.6%)

sample46.0ms (0.8%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite45.0ms (0.7%)

series175.0ms (2.9%)

simplify63.0ms (1%)

prune53.0ms (0.9%)

localize7.0ms (0.1%)

rewrite25.0ms (0.4%)

series105.0ms (1.7%)

simplify50.0ms (0.8%)

prune32.0ms (0.5%)

localize9.0ms (0.1%)

rewrite71.0ms (1.2%)

series227.0ms (3.7%)

simplify30.0ms (0.5%)

prune78.0ms (1.3%)

localize12.0ms (0.2%)

rewrite186.0ms (3.1%)

series356.0ms (5.9%)

simplify84.0ms (1.4%)

prune129.0ms (2.1%)

regimes1.3s (21.2%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

end0.0ms (0%)

sample2.9s (47.3%)

Profiling