Details

sample83.0ms

Algorithm

intervals

Results

44.0ms

620×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13

prune12.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 12.4b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* t i))
3.9b	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
5.4b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* c z) (* t i)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l` `add-log-exp`
5×	`sub-neg` `prod-diff`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log` `fma-udef`

Counts

4 → 82

Calls

4 calls:

4.0ms	(- (* c z) (* t i))
1.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
6.0ms	(* x (- (* y z) (* t a)))
8.0ms	(* b (- (* c z) (* t i)))

series815.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* c z) (* t i))
620.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
70.0ms	(* x (- (* y z) (* t a)))
78.0ms	(* b (- (* c z) (* t i)))

simplify60.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	376	645
1	1499	568
2	5001	568

prune454.0ms

Filtered

94 candidates to 73 candidates (77.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	82	12	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	12	95

Merged error: 4.7b

Counts

95 → 12

localize26.0ms

Local error

Found 4 expressions with local error:

5.4b	(* b (- (* c z) (* t i)))
7.0b	(cbrt (* x (- (* y z) (* t a))))
7.0b	(cbrt (* x (- (* y z) (* t a))))
7.0b	(cbrt (* x (- (* y z) (* t a))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `prod-diff`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

7.0ms	(* b (- (* c z) (* t i)))
5.0ms	(cbrt (* x (- (* y z) (* t a))))
5.0ms	(cbrt (* x (- (* y z) (* t a))))
5.0ms	(cbrt (* x (- (* y z) (* t a))))

series541.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* b (- (* c z) (* t i)))
156.0ms	(cbrt (* x (- (* y z) (* t a))))
153.0ms	(cbrt (* x (- (* y z) (* t a))))
158.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify131.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	334	604
1	1198	550
2	4594	541
3	5001	541

prune453.0ms

Filtered

79 candidates to 65 candidates (82.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	78	13	91

Merged error: 4.7b

Counts

91 → 13

localize29.0ms

Local error

Found 4 expressions with local error:

5.4b	(* b (- (* c z) (* t i)))
7.0b	(cbrt (* x (- (* y z) (* t a))))
7.0b	(cbrt (* x (- (* y z) (* t a))))
7.6b	(cbrt (- (* y z) (* t a)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
5×	`cbrt-prod`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `prod-diff`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

6.0ms	(* b (- (* c z) (* t i)))
5.0ms	(cbrt (* x (- (* y z) (* t a))))
5.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (- (* y z) (* t a)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* b (- (* c z) (* t i)))
153.0ms	(cbrt (* x (- (* y z) (* t a))))
152.0ms	(cbrt (* x (- (* y z) (* t a))))
134.0ms	(cbrt (- (* y z) (* t a)))

simplify54.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	408	618
1	1389	566
2	5002	552

prune526.0ms

Filtered

81 candidates to 67 candidates (82.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	81	13	94

Merged error: 4.7b

Counts

94 → 13

localize32.0ms

Local error

Found 4 expressions with local error:

5.4b	(* b (- (* c z) (* t i)))
7.0b	(cbrt (* x (- (* y z) (* t a))))
7.6b	(cbrt (- (* y z) (* t a)))
7.6b	(cbrt (- (* y z) (* t a)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `prod-diff`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

7.0ms	(* b (- (* c z) (* t i)))
5.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (- (* y z) (* t a)))
4.0ms	(cbrt (- (* y z) (* t a)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* b (- (* c z) (* t i)))
156.0ms	(cbrt (* x (- (* y z) (* t a))))
126.0ms	(cbrt (- (* y z) (* t a)))
147.0ms	(cbrt (- (* y z) (* t a)))

simplify56.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	408	632
1	1389	582
2	5002	566

prune488.0ms

Filtered

83 candidates to 69 candidates (83.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	82	14	96

Merged error: 4.7b

Counts

96 → 14

regimes919.0ms

Accuracy

2.8% (7.5b remaining)

Error of 12.6b against oracle of 5.1b and baseline of 12.8b

bsearch387.0ms

Steps

Iters	Range		Point
8	3.242563890055179e-173	3.607599864067121e-169	4.6209805020947937e-172
8	-7.448413388221064e-213	-2.4993402852336077e-215	-3.6346447109297605e-214

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	67
1	57	67

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s

18977×

body

valid