Details

sample73.0ms

Algorithm

intervals

Results

38.0ms

647×

body

valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
4.0b	(* j (- (* c t) (* i y)))
4.8b	(* b (- (* c z) (* i a)))
5.9b	(* x (- (* y z) (* t a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

3.0ms	(- (* c z) (* i a))
9.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* x (- (* y z) (* t a)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* c z) (* i a))
66.0ms	(* j (- (* c t) (* i y)))
66.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* x (- (* y z) (* t a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	478	643
1	1976	572
2	5001	572

prune545.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.1b

localize25.0ms

Local error

Found 4 expressions with local error:

4.0b	(* j (- (* c t) (* i y)))
4.8b	(* b (- (* c z) (* i a)))
5.9b	(* x (fma y z (- (* a t))))
48.7b	(fma (- a) t (* a t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

9.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* b (- (* c z) (* i a)))
3.0ms	(* x (fma y z (- (* a t))))
0.0ms	(fma (- a) t (* a t))

series240.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* j (- (* c t) (* i y)))
69.0ms	(* b (- (* c z) (* i a)))
69.0ms	(* x (fma y z (- (* a t))))
30.0ms	(fma (- a) t (* a t))

simplify48.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	412	562
1	1685	493
2	5001	493

prune747.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.1b

localize35.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (* j (- (* c t) (* i y))))
7.5b	(cbrt (* j (- (* c t) (* i y))))
7.5b	(cbrt (* j (- (* c t) (* i y))))
48.7b	(fma (- a) t (* a t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div` `associate-*r/`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `flip--`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

4.0ms	(cbrt (* j (- (* c t) (* i y))))
4.0ms	(cbrt (* j (- (* c t) (* i y))))
4.0ms	(cbrt (* j (- (* c t) (* i y))))
0.0ms	(fma (- a) t (* a t))

series492.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (* j (- (* c t) (* i y))))
152.0ms	(cbrt (* j (- (* c t) (* i y))))
156.0ms	(cbrt (* j (- (* c t) (* i y))))
30.0ms	(fma (- a) t (* a t))

simplify70.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	207	470
1	624	430
2	2241	421
3	5002	413

prune573.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 7.1b

localize37.0ms

Local error

Found 4 expressions with local error:

6.0b	(cbrt (- (* c t) (* i y)))
7.5b	(cbrt (* j (- (* c t) (* i y))))
7.5b	(cbrt (* j (- (* c t) (* i y))))
48.7b	(fma (- a) t (* a t))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div`
5×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `associate-*r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`
1×	`fma-udef`

Counts

4 → 51

Calls

4 calls:

2.0ms	(cbrt (- (* c t) (* i y)))
4.0ms	(cbrt (* j (- (* c t) (* i y))))
4.0ms	(cbrt (* j (- (* c t) (* i y))))
0.0ms	(fma (- a) t (* a t))

series466.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (- (* c t) (* i y)))
148.0ms	(cbrt (* j (- (* c t) (* i y))))
152.0ms	(cbrt (* j (- (* c t) (* i y))))
32.0ms	(fma (- a) t (* a t))

simplify84.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	288	484
1	822	446
2	2838	434
3	5003	424

prune544.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 7.1b

regimes1.4s

Accuracy

-5.4% (3.9b remaining)

Error of 11.9b against oracle of 8.0b and baseline of 11.7b

bsearch239.0ms

Steps

Iters	Range		Point
9	6.592626828314788e-117	4.732337118261563e-111	6.712730175167036e-117
7	-1.6302964446103126e-158	-6.990261897719726e-160	-7.917291241767337e-159

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	93
1	75	93
2	75	93

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18975×

body

valid