Details

analyze142.0ms (1.8%)

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

Symmetry

(sort a b c d)

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample58.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	256×	pre	128	true
9.0ms	256×	body	128	valid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	136	13
1	136	13

prune5.0ms (0.1%)

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

3.7b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b	(+.f64 b (+.f64 c d))
2.8b	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite61.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

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:

17.0ms	(+.f64 b (+.f64 c d))
15.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

Compiler

Compiled 493 to 177 computations (64.1% saved)

series273.0ms (3.4%)

Error

2.8b

Counts

2 → 42

Calls

2 calls:

141.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
111.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 773 to 626 computations (19% saved)

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4960	645
1	4960	645

prune89.0ms (1.1%)

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

2.1b

Counts

75 → 7

Compiler

Compiled 877 to 345 computations (60.7% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.8b	(+.f64 d (+.f64 (+.f64 b c) a))

rewrite39.0ms (0.5%)

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:

13.0ms

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

Compiler

Compiled 269 to 95 computations (64.7% saved)

series167.0ms (2.1%)

Error

2.1b

Counts

1 → 24

Calls

1 calls:

156.0ms

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

Compiler

Compiled 428 to 356 computations (16.8% saved)

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5023	401

prune43.0ms (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)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))
2.8b	(+.f64 d (+.f64 (+.f64 b c) a))

rewrite118.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

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:

22.0ms	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))
18.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 980 to 416 computations (57.6% saved)

series326.0ms (4.1%)

Error

1.8b

Counts

2 → 48

Calls

2 calls:

143.0ms	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))
136.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 1036 to 880 computations (15.1% saved)

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5014	1085

prune145.0ms (1.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	90	12	102

Error

1.8b

Counts

102 → 12

Compiler

Compiled 1446 to 630 computations (56.4% saved)

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3)) 3))
0.5b	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3))
2.8b	(+.f64 (+.f64 a (+.f64 b c)) d)

rewrite276.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

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:

30.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3)) 3))
20.0ms	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3))
18.0ms	(+.f64 (+.f64 a (+.f64 b c)) d)

Compiler

Compiled 2846 to 1467 computations (48.5% saved)

series483.0ms (6%)

Error

1.8b

Counts

3 → 72

Calls

3 calls:

155.0ms	(+.f64 (+.f64 a (+.f64 b c)) d)
134.0ms	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3))
123.0ms	(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)

simplify154.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4970	2448
1	4970	2448

prune232.0ms (2.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	172	5	177
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	175	14	189

Error

1.7b

Counts

189 → 14

Compiler

Compiled 2640 to 1112 computations (57.9% saved)

regimes2.0s (24.5%)

Accuracy

Total 0.8b remaining (54%)

Threshold costs 0.8b (54%)

Compiler

Compiled 15214 to 10598 computations (30.3% saved)

bsearch0.0ms (0%)

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	18	21

Remove

(sort a b c d)

Compiler

Compiled 26 to 26 computations (0% saved)

end0.0ms (0%)

sample3.1s (38.8%)

Algorithm

1×

intervals

Results

428.0ms	8000×	pre	128	true
308.0ms	8000×	body	128	valid

Compiler

Compiled 1918 to 1344 computations (29.9% saved)

Details

analyze142.0ms (1.8%)

sample58.0ms (0.7%)

simplify11.0ms (0.1%)

prune5.0ms (0.1%)

localize14.0ms (0.2%)

rewrite61.0ms (0.8%)

series273.0ms (3.4%)

simplify108.0ms (1.4%)

prune89.0ms (1.1%)

localize9.0ms (0.1%)

rewrite39.0ms (0.5%)

series167.0ms (2.1%)

simplify75.0ms (0.9%)

prune43.0ms (0.5%)

localize12.0ms (0.2%)

rewrite118.0ms (1.5%)

series326.0ms (4.1%)

simplify51.0ms (0.6%)

prune145.0ms (1.8%)

localize23.0ms (0.3%)

rewrite276.0ms (3.5%)

series483.0ms (6%)

simplify154.0ms (1.9%)

prune232.0ms (2.9%)

regimes2.0s (24.5%)

bsearch0.0ms (0%)

simplify27.0ms (0.3%)

end0.0ms (0%)

sample3.1s (38.8%)

Profiling