Details

sample92.0ms

Algorithm

intervals

Results

53.0ms

585×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune10.0ms

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: 12.5b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
4.1b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
4.5b	(* b (- (* c z) (* i a)))
5.2b	(* x (- (* y z) (* t a)))

rewrite19.0ms

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

series782.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* c t) (* i y))
598.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
69.0ms	(* b (- (* c z) (* i a)))
73.0ms	(* x (- (* y z) (* t a)))

simplify58.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	423	646
1	1659	568
2	5001	568

prune422.0ms

Filtered

94 candidates to 71 candidates (75.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	78	16	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	16	95

Merged error: 4.2b

Counts

95 → 16

localize27.0ms

Local error

Found 4 expressions with local error:

4.1b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* b (* c z)) (* b (- (* i a))))))
4.5b	(* b (* c z))
4.9b	(* b (- (* i a)))
5.2b	(* x (- (* y z) (* t a)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

1.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* b (* c z)) (* b (- (* i a))))))
5.0ms	(* b (* c z))
6.0ms	(* b (- (* i a)))
7.0ms	(* x (- (* y z) (* t a)))

series737.0ms

Counts

4 → 12

Calls

4 calls:

610.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* b (* c z)) (* b (- (* i a))))))
26.0ms	(* b (* c z))
26.0ms	(* b (- (* i a)))
75.0ms	(* x (- (* y z) (* t a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	380	576
1	1736	498
2	5001	495

prune416.0ms

Filtered

94 candidates to 70 candidates (74.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	2	13	15
Picked	0	1	1
Done	0	0	0
Total	93	17	110

Merged error: 4.1b

Counts

110 → 17

localize27.0ms

Local error

Found 4 expressions with local error:

5.2b	(* x (- (* y z) (* t a)))
13.2b	(cbrt (- (* i a)))
13.2b	(cbrt (- (* i a)))
13.2b	(cbrt (- (* i a)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
2.0ms	(cbrt (- (* i a)))
2.0ms	(cbrt (- (* i a)))
2.0ms	(cbrt (- (* i a)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* x (- (* y z) (* t a)))
120.0ms	(cbrt (- (* i a)))
113.0ms	(cbrt (- (* i a)))
111.0ms	(cbrt (- (* i a)))

simplify91.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	254	502
1	823	460
2	2991	436
3	5003	433

prune508.0ms

Filtered

88 candidates to 74 candidates (84.1%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	88	17	105

Merged error: 4.1b

Counts

105 → 17

localize31.0ms

Local error

Found 4 expressions with local error:

4.5b	(* b (- (* c z) (* i a)))
5.7b	(cbrt (- (* y z) (* t a)))
5.7b	(cbrt (- (* y z) (* t a)))
5.7b	(cbrt (- (* y z) (* t a)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
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` `associate-*r/` `prod-diff`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

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

series493.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* b (- (* c z) (* i a)))
139.0ms	(cbrt (- (* y z) (* t a)))
133.0ms	(cbrt (- (* y z) (* t a)))
139.0ms	(cbrt (- (* y z) (* t a)))

simplify117.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	336	646
1	1159	598
2	4181	580
3	5001	580

prune429.0ms

Filtered

85 candidates to 71 candidates (83.5%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	14	14
Picked	0	1	1
Done	0	2	2
Total	83	19	102

Merged error: 4.1b

Counts

102 → 19

regimes1.1s

Accuracy

17.5% (6.1b remaining)

Error of 10.6b against oracle of 4.5b and baseline of 11.9b

bsearch280.0ms

Steps

Iters	Range		Point
9	6.049479033545698e+93	7.080629709277233e+101	1.9226580672600697e+94
8	-2.9257582241318187e+113	-2.260490540736235e+109	-2.9950173997637984e+112

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	30
1	73	30
2	74	30
3	74	30

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.6s

19121×

body

valid