Details

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	pre	128	true
7.0ms	256×	body	128	valid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify96.0ms (1.8%)

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

3.7b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

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)))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_4067` `add-log-exp_binary64_4106`
9×	`sum-log_binary64_4158` `distribute-lft-out_binary64_4018`
2×	`add-exp-log_binary64_4105` `flip-+_binary64_4041` `add-cube-cbrt_binary64_4102` `add-sqr-sqrt_binary64_4089` `add-cbrt-cube_binary64_4103` `flip3-+_binary64_4070` `associate-+r+_binary64_3999` `+-commutative_binary64_3997` `pow1_binary64_4128`

Counts

2 → 32

Calls

4 calls:

12.0ms	(+.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)))

series153.0ms (2.9%)

Counts

2 → 42

Calls

2 calls:

93.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
60.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 481 to 524 computations (-8.9% saved)

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4960	645
1	4960	645

prune63.0ms (1.2%)

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)

localize6.0ms (0.1%)

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))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_4067` `add-log-exp_binary64_4106`
6×	`sum-log_binary64_4158` `distribute-lft-out_binary64_4018`
1×	`add-exp-log_binary64_4105` `flip-+_binary64_4041` `add-cube-cbrt_binary64_4102` `add-sqr-sqrt_binary64_4089` `add-cbrt-cube_binary64_4103` `flip3-+_binary64_4070` `associate-+r+_binary64_3999` `+-commutative_binary64_3997` `pow1_binary64_4128`

Counts

1 → 17

Calls

2 calls:

8.0ms	(+.f64 a (+.f64 (+.f64 b c) d))
0.0ms	(+.f64 a (+.f64 (+.f64 b c) d))

series90.0ms (1.7%)

Counts

1 → 24

Calls

1 calls:

90.0ms

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

Compiler

Compiled 268 to 296 computations (-10.4% saved)

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5085	401

prune38.0ms (0.7%)

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)

localize9.0ms (0.2%)

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)))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64_4067`
18×	`cbrt-prod_binary64_4098` `distribute-lft-out_binary64_4018`
11×	`add-log-exp_binary64_4106`
6×	`unpow-prod-down_binary64_4146` `sum-log_binary64_4158` `cube-prod_binary64_4095`
5×	`add-cube-cbrt_binary64_4102` `add-sqr-sqrt_binary64_4089`
2×	`add-exp-log_binary64_4105` `flip-+_binary64_4041` `cbrt-div_binary64_4099` `add-cbrt-cube_binary64_4103` `flip3-+_binary64_4070` `cube-div_binary64_4096` `pow1_binary64_4128`
1×	`rem-cbrt-cube_binary64_4091` `pow1/3_binary64_4149` `unpow3_binary64_4133` `associate-+r+_binary64_3999` `cube-mult_binary64_4097` `+-commutative_binary64_3997` `sqr-pow_binary64_4039`

Counts

2 → 46

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
8.0ms	(+.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 (3.5%)

Counts

2 → 48

Calls

2 calls:

98.0ms	(+.f64 a (+.f64 d (+.f64 b c)))
92.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))

Compiler

Compiled 644 to 700 computations (-8.7% saved)

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4997	1082
1	4997	1082

prune78.0ms (1.5%)

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)

localize9.0ms (0.2%)

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 (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_4067`
20×	`cbrt-prod_binary64_4098`
16×	`distribute-lft-out_binary64_4018`
7×	`unpow-prod-down_binary64_4146` `cube-prod_binary64_4095`
6×	`cbrt-div_binary64_4099` `cube-div_binary64_4096`
5×	`flip-+_binary64_4041` `flip3-+_binary64_4070`
4×	`add-cube-cbrt_binary64_4102` `frac-add_binary64_4075` `add-sqr-sqrt_binary64_4089`
1×	`rem-cbrt-cube_binary64_4091` `add-exp-log_binary64_4105` `pow1/3_binary64_4149` `add-cbrt-cube_binary64_4103` `unpow3_binary64_4133` `add-log-exp_binary64_4106` `cube-mult_binary64_4097` `sqr-pow_binary64_4039` `pow1_binary64_4128`

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))

series93.0ms (1.7%)

Counts

1 → 24

Calls

1 calls:

93.0ms

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

Compiler

Compiled 268 to 296 computations (-10.4% saved)

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4825	946
1	4825	946

prune62.0ms (1.2%)

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)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	420	1290
1	420	1290

regimes626.0ms (11.7%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 6643 to 4769 computations (28.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	18
1	19	18

end0.0ms (0%)

sample3.5s (64.9%)

Algorithm

1×

intervals

Results

320.0ms	8000×	pre	128	true
207.0ms	8000×	body	128	valid

Compiler

Compiled 2608 to 1849 computations (29.1% saved)

Pareto

0.8848170088321988

Details

analyze3.0ms (0%)

sample29.0ms (0.5%)

simplify96.0ms (1.8%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite20.0ms (0.4%)

series153.0ms (2.9%)

simplify55.0ms (1%)

prune63.0ms (1.2%)

localize6.0ms (0.1%)

rewrite10.0ms (0.2%)

series90.0ms (1.7%)

simplify52.0ms (1%)

prune38.0ms (0.7%)

localize9.0ms (0.2%)

rewrite21.0ms (0.4%)

series190.0ms (3.5%)

simplify67.0ms (1.3%)

prune78.0ms (1.5%)

localize9.0ms (0.2%)

rewrite15.0ms (0.3%)

series93.0ms (1.7%)

simplify64.0ms (1.2%)

prune62.0ms (1.2%)

simplify18.0ms (0.3%)

regimes626.0ms (11.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.5s (64.9%)

Profiling