Details

analyze119.0ms (2.1%)

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)

sample42.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
7.0ms	256×	body	128	valid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	136	13
1	136	13

prune3.0ms (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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(+.f64 b (+.f64 c d))
2.8b	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite47.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

16×	`add-log-exp_binary64_1140` `*-un-lft-identity_binary64_1101`
9×	`sum-log_binary64_1192` `distribute-lft-out_binary64_1052`
2×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-+r+_binary64_1033` `+-commutative_binary64_1031`

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 (3.1%)

Error

2.8b

Counts

2 → 42

Calls

2 calls:

95.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
60.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 773 to 626 computations (19% saved)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4960	645
1	4960	645

prune55.0ms (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

2.0b

Counts

75 → 7

Compiler

Compiled 877 to 345 computations (60.7% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

10×	`add-log-exp_binary64_1140` `*-un-lft-identity_binary64_1101`
6×	`sum-log_binary64_1192` `distribute-lft-out_binary64_1052`
1×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-+r+_binary64_1033` `+-commutative_binary64_1031`

Counts

1 → 17

Calls

1 calls:

8.0ms

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

Compiler

Compiled 269 to 95 computations (64.7% saved)

series104.0ms (1.9%)

Error

2.0b

Counts

1 → 24

Calls

1 calls:

94.0ms

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

Compiler

Compiled 428 to 356 computations (16.8% saved)

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5023	401

prune31.0ms (0.6%)

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

1.7b

Counts

48 → 8

Compiler

Compiled 573 to 230 computations (59.9% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.8b	(log.f64 (exp.f64 (+.f64 d (+.f64 (+.f64 b c) a))))
2.8b	(+.f64 d (+.f64 (+.f64 b c) a))

rewrite53.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

22×	`*-un-lft-identity_binary64_1101`
12×	`distribute-lft-out_binary64_1052`
11×	`add-log-exp_binary64_1140`
7×	`log-pow_binary64_1190`
6×	`sum-log_binary64_1192` `exp-prod_binary64_1153`
4×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `log-prod_binary64_1187`
3×	`pow1_binary64_1162`
2×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
1×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-+r+_binary64_1033` `+-commutative_binary64_1031` `exp-sum_binary64_1147` `rem-log-exp_binary64_1142`

Counts

2 → 36

Calls

2 calls:

9.0ms	(log.f64 (exp.f64 (+.f64 d (+.f64 (+.f64 b c) a))))
9.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 652 to 219 computations (66.4% saved)

series553.0ms (9.9%)

Error

1.1b

Counts

2 → 40

Calls

2 calls:

426.0ms	(log.f64 (exp.f64 (+.f64 d (+.f64 (+.f64 b c) a))))
104.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 1016 to 786 computations (22.6% saved)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5164	788

prune59.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	72	12	84

Error

1.6b

Counts

84 → 12

Compiler

Compiled 1207 to 447 computations (63% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite108.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

41×	`*-un-lft-identity_binary64_1101`
31×	`add-log-exp_binary64_1140`
24×	`distribute-lft-out_binary64_1052`
18×	`sum-log_binary64_1192`
6×	`cbrt-prod_binary64_1132`
5×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
4×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `flip3-+_binary64_1104` `flip-+_binary64_1075`
3×	`associate-+r+_binary64_1033` `+-commutative_binary64_1031`
2×	`cbrt-div_binary64_1133`
1×	`pow1/3_binary64_1183`

Counts

4 → 67

Calls

4 calls:

9.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
8.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
8.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
8.0ms	(cbrt.f64 (+.f64 d (+.f64 (+.f64 b c) a)))

Compiler

Compiled 2373 to 398 computations (83.2% saved)

series687.0ms (12.3%)

Error

1.6b

Counts

4 → 90

Calls

4 calls:

275.0ms	(cbrt.f64 (+.f64 d (+.f64 (+.f64 b c) a)))
115.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
108.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
107.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 7338 to 3485 computations (52.5% saved)

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5011	2132

prune144.0ms (2.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	148	9	157
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	150	19	169

Error

1.4b

Counts

169 → 19

Compiler

Compiled 4875 to 839 computations (82.8% saved)

regimes1.0s (18.6%)

Accuracy

Total 1.0b remaining (70.9%)

Threshold costs 1.0b (70.9%)

Compiler

Compiled 15014 to 8390 computations (44.1% saved)

bsearch0.0ms (0%)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

Removed

((sort a b c d))

Compiler

Compiled 30 to 30 computations (0% saved)

end0.0ms (0%)

sample2.1s (36.9%)

Algorithm

1×

intervals

Results

310.0ms	8000×	pre	128	true
226.0ms	8000×	body	128	valid

Compiler

Compiled 1879 to 1060 computations (43.6% saved)

Details

analyze119.0ms (2.1%)

sample42.0ms (0.8%)

simplify9.0ms (0.2%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite47.0ms (0.8%)

series175.0ms (3.1%)

simplify58.0ms (1%)

prune55.0ms (1%)

localize7.0ms (0.1%)

rewrite24.0ms (0.4%)

series104.0ms (1.9%)

simplify53.0ms (0.9%)

prune31.0ms (0.6%)

localize10.0ms (0.2%)

rewrite53.0ms (0.9%)

series553.0ms (9.9%)

simplify61.0ms (1.1%)

prune59.0ms (1.1%)

localize11.0ms (0.2%)

rewrite108.0ms (1.9%)

series687.0ms (12.3%)

simplify53.0ms (1%)

prune144.0ms (2.6%)

regimes1.0s (18.6%)

bsearch0.0ms (0%)

simplify15.0ms (0.3%)

end0.0ms (0%)

sample2.1s (36.9%)

Profiling