Details

analyze163.0ms (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)

sample49.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	pre	128	true
8.0ms	256×	body	128	valid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	136	13
1	136	13

prune4.0ms (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

3.8b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite88.0ms (1%)

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:

24.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
10.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 493 to 177 computations (64.1% saved)

series277.0ms (3%)

Error

2.8b

Counts

2 → 42

Calls

2 calls:

143.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
97.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 773 to 626 computations (19% saved)

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4960	645
1	4960	645

prune70.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	66	8	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	8	75

Error

2.2b

Counts

75 → 8

Compiler

Compiled 888 to 356 computations (59.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

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:

10.0ms

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

Compiler

Compiled 269 to 95 computations (64.7% saved)

series156.0ms (1.7%)

Error

2.2b

Counts

1 → 24

Calls

1 calls:

138.0ms

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

Compiler

Compiled 428 to 356 computations (16.8% saved)

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5023	401

prune55.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	41	8	49

Error

1.9b

Counts

49 → 8

Compiler

Compiled 573 to 230 computations (59.9% saved)

localize12.0ms (0.1%)

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))

rewrite80.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

22×	`*-un-lft-identity_binary64_2124`
12×	`distribute-lft-out_binary64_2075`
11×	`add-log-exp_binary64_2163`
7×	`log-pow_binary64_2213`
6×	`sum-log_binary64_2215` `exp-prod_binary64_2176`
4×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `log-prod_binary64_2210`
3×	`pow1_binary64_2185`
2×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
1×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-+r+_binary64_2056` `+-commutative_binary64_2054` `exp-sum_binary64_2170` `rem-log-exp_binary64_2165`

Counts

2 → 36

Calls

2 calls:

10.0ms	(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)

series806.0ms (8.8%)

Error

1.0b

Counts

2 → 40

Calls

2 calls:

594.0ms	(log.f64 (exp.f64 (+.f64 d (+.f64 (+.f64 b c) a))))
172.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 1016 to 786 computations (22.6% saved)

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5164	788

prune110.0ms (1.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	72	12	84

Error

1.7b

Counts

84 → 12

Compiler

Compiled 1205 to 445 computations (63.1% saved)

localize20.0ms (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))

rewrite190.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

1.5b

Rules

41×	`*-un-lft-identity_binary64_2124`
31×	`add-log-exp_binary64_2163`
24×	`distribute-lft-out_binary64_2075`
18×	`sum-log_binary64_2215`
6×	`cbrt-prod_binary64_2155`
5×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
4×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3-+_binary64_2127` `flip-+_binary64_2098`
3×	`associate-+r+_binary64_2056` `+-commutative_binary64_2054`
2×	`cbrt-div_binary64_2156`
1×	`pow1/3_binary64_2206`

Counts

4 → 67

Calls

4 calls:

15.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
15.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
14.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
12.0ms	(cbrt.f64 (+.f64 d (+.f64 (+.f64 b c) a)))

Compiler

Compiled 2373 to 398 computations (83.2% saved)

series1.2s (13%)

Error

1.7b

Counts

4 → 90

Calls

4 calls:

490.0ms	(cbrt.f64 (+.f64 d (+.f64 (+.f64 b c) a)))
191.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
190.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
170.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 7338 to 3485 computations (52.5% saved)

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5011	2132

prune208.0ms (2.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	149	8	157
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	151	18	169

Error

1.6b

Counts

169 → 18

Compiler

Compiled 4875 to 839 computations (82.8% saved)

regimes1.7s (18.3%)

Accuracy

Total 1.0b remaining (69.9%)

Threshold costs 1.0b (69.9%)

Compiler

Compiled 14361 to 8081 computations (43.7% saved)

bsearch0.0ms (0%)

simplify25.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

Remove

(sort a b c d)

Compiler

Compiled 30 to 30 computations (0% saved)

end0.0ms (0%)

sample3.5s (38.7%)

Algorithm

1×

intervals

Results

522.0ms	8000×	pre	128	true
365.0ms	8000×	body	128	valid

Compiler

Compiled 1797 to 1021 computations (43.2% saved)

Details

analyze163.0ms (1.8%)

sample49.0ms (0.5%)

simplify16.0ms (0.2%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite88.0ms (1%)

series277.0ms (3%)

simplify99.0ms (1.1%)

prune70.0ms (0.8%)

localize6.0ms (0.1%)

rewrite41.0ms (0.4%)

series156.0ms (1.7%)

simplify89.0ms (1%)

prune55.0ms (0.6%)

localize12.0ms (0.1%)

rewrite80.0ms (0.9%)

series806.0ms (8.8%)

simplify82.0ms (0.9%)

prune110.0ms (1.2%)

localize20.0ms (0.2%)

rewrite190.0ms (2.1%)

series1.2s (13%)

simplify89.0ms (1%)

prune208.0ms (2.3%)

regimes1.7s (18.3%)

bsearch0.0ms (0%)

simplify25.0ms (0.3%)

end0.0ms (0%)

sample3.5s (38.7%)

Profiling