Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample27.0ms (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)

simplify98.0ms (2.8%)

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)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.7b	(+.f64 a (+.f64 b (+.f64 c d)))
0.5b	(+.f64 b (+.f64 c d))
0.5b	(+.f64 b (+.f64 c d))
2.7b	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-log-exp_binary64_2108` `*-un-lft-identity_binary64_2069`
9×	`distribute-lft-out_binary64_2020` `sum-log_binary64_2160`
2×	`associate-+r+_binary64_2001` `add-sqr-sqrt_binary64_2091` `add-exp-log_binary64_2107` `flip-+_binary64_2043` `pow1_binary64_2130` `add-cbrt-cube_binary64_2105` `+-commutative_binary64_1999` `add-cube-cbrt_binary64_2104` `flip3-+_binary64_2072`

Counts

2 → 32

Calls

4 calls:

9.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
6.0ms	(+.f64 b (+.f64 c d))
0.0ms	(+.f64 b (+.f64 c d))
0.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

series158.0ms (4.6%)

Counts

2 → 42

Calls

2 calls:

97.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
61.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 481 to 524 computations (-8.9% saved)

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4960	645
1	4960	645

prune64.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	6	75

Error

2.2b

Counts

75 → 6

Compiler

Compiled 858 to 326 computations (62% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.7b	(+.f64 a (+.f64 (+.f64 b c) d))
2.7b	(+.f64 a (+.f64 (+.f64 b c) d))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_2108` `*-un-lft-identity_binary64_2069`
6×	`distribute-lft-out_binary64_2020` `sum-log_binary64_2160`
1×	`associate-+r+_binary64_2001` `add-sqr-sqrt_binary64_2091` `add-exp-log_binary64_2107` `flip-+_binary64_2043` `pow1_binary64_2130` `add-cbrt-cube_binary64_2105` `+-commutative_binary64_1999` `add-cube-cbrt_binary64_2104` `flip3-+_binary64_2072`

Counts

1 → 17

Calls

2 calls:

11.0ms	(+.f64 a (+.f64 (+.f64 b c) d))
0.0ms	(+.f64 a (+.f64 (+.f64 b c) d))

series94.0ms (2.7%)

Counts

1 → 24

Calls

1 calls:

94.0ms

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

Compiler

Compiled 268 to 296 computations (-10.4% saved)

simplify55.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5085	401

prune38.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	37	10	47

Error

2.0b

Counts

47 → 10

Compiler

Compiled 605 to 254 computations (58% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.7b	(+.f64 a (+.f64 d (+.f64 b c)))
0.5b	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
0.5b	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
2.7b	(+.f64 a (+.f64 d (+.f64 b c)))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64_2069`
18×	`distribute-lft-out_binary64_2020` `cbrt-prod_binary64_2100`
11×	`add-log-exp_binary64_2108`
6×	`unpow-prod-down_binary64_2148` `cube-prod_binary64_2097` `sum-log_binary64_2160`
5×	`add-sqr-sqrt_binary64_2091` `add-cube-cbrt_binary64_2104`
2×	`cbrt-div_binary64_2101` `add-exp-log_binary64_2107` `flip-+_binary64_2043` `cube-div_binary64_2098` `pow1_binary64_2130` `add-cbrt-cube_binary64_2105` `flip3-+_binary64_2072`
1×	`associate-+r+_binary64_2001` `cube-mult_binary64_2099` `pow1/3_binary64_2151` `rem-cbrt-cube_binary64_2093` `+-commutative_binary64_1999` `sqr-pow_binary64_2041` `unpow3_binary64_2135`

Counts

2 → 46

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
9.0ms	(+.f64 a (+.f64 d (+.f64 b c)))
0.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
0.0ms	(+.f64 a (+.f64 d (+.f64 b c)))

series190.0ms (5.5%)

Counts

2 → 48

Calls

2 calls:

95.0ms	(+.f64 a (+.f64 d (+.f64 b c)))
95.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))

Compiler

Compiled 644 to 700 computations (-8.7% saved)

simplify75.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4997	1082
1	4997	1082

prune80.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	6	2	8
Picked	1	0	1
Done	0	1	1
Total	97	7	104

Error

0.3b

Counts

104 → 7

Compiler

Compiled 1306 to 543 computations (58.4% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_2069`
20×	`cbrt-prod_binary64_2100`
16×	`distribute-lft-out_binary64_2020`
7×	`unpow-prod-down_binary64_2148` `cube-prod_binary64_2097`
6×	`cbrt-div_binary64_2101` `cube-div_binary64_2098`
5×	`flip-+_binary64_2043` `flip3-+_binary64_2072`
4×	`add-sqr-sqrt_binary64_2091` `frac-add_binary64_2077` `add-cube-cbrt_binary64_2104`
1×	`add-log-exp_binary64_2108` `add-exp-log_binary64_2107` `cube-mult_binary64_2099` `pow1/3_binary64_2151` `pow1_binary64_2130` `rem-cbrt-cube_binary64_2093` `add-cbrt-cube_binary64_2105` `sqr-pow_binary64_2041` `unpow3_binary64_2135`

Counts

1 → 35

Calls

2 calls:

11.0ms	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))
0.0ms	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

series98.0ms (2.8%)

Counts

1 → 24

Calls

1 calls:

97.0ms

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

Compiler

Compiled 268 to 296 computations (-10.4% saved)

simplify67.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4825	946
1	4825	946

prune59.0ms (1.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	5	0	5
Picked	1	0	1
Done	1	0	1
Total	65	1	66

Error

Counts

66 → 1

Compiler

Compiled 835 to 290 computations (65.3% saved)

regimes685.0ms (19.8%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 7485 to 5226 computations (30.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	18
1	19	18

end0.0ms (0%)

sample1.5s (43.2%)

Algorithm

1×

intervals

Results

325.0ms	8000×	pre	128	true
219.0ms	8000×	body	128	valid

Compiler

Compiled 903 to 638 computations (29.3% saved)

Pareto

Details

analyze3.0ms (0.1%)

sample27.0ms (0.8%)

simplify98.0ms (2.8%)

prune3.0ms (0.1%)

localize11.0ms (0.3%)

rewrite17.0ms (0.5%)

series158.0ms (4.6%)

simplify57.0ms (1.6%)

prune64.0ms (1.9%)

localize7.0ms (0.2%)

rewrite12.0ms (0.4%)

series94.0ms (2.7%)

simplify55.0ms (1.6%)

prune38.0ms (1.1%)

localize11.0ms (0.3%)

rewrite24.0ms (0.7%)

series190.0ms (5.5%)

simplify75.0ms (2.2%)

prune80.0ms (2.3%)

localize11.0ms (0.3%)

rewrite15.0ms (0.4%)

series98.0ms (2.8%)

simplify67.0ms (1.9%)

prune59.0ms (1.7%)

regimes685.0ms (19.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (43.2%)

Profiling