Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

278×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.3b	(fma y (/ (- z t) (- a t)) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

15.0ms	(/ (- z t) (- a t))
0.0ms	(fma y (/ (- z t) (- a t)) x)

series124.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- z t) (- a t))
71.0ms	(fma y (/ (- z t) (- a t)) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	258	433
1	707	410
2	2404	410
3	5003	410

prune191.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

20.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))

series592.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
155.0ms	(cbrt (- z t))
150.0ms	(cbrt (- z t))
157.0ms	(cbrt (- z t))

simplify173.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (157.0ms)

Iter	Nodes	Cost
0	270	790
1	949	753
2	4625	700
3	5001	694

prune405.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (/ (- z t) (- a t)) x)) (cbrt (fma y (/ (- z t) (- a t)) x)))
0.6b	(cbrt (fma y (/ (- z t) (- a t)) x))
0.6b	(cbrt (fma y (/ (- z t) (- a t)) x))
0.6b	(cbrt (fma y (/ (- z t) (- a t)) x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

9.0ms	(* (cbrt (fma y (/ (- z t) (- a t)) x)) (cbrt (fma y (/ (- z t) (- a t)) x)))
0.0ms	(cbrt (fma y (/ (- z t) (- a t)) x))
1.0ms	(cbrt (fma y (/ (- z t) (- a t)) x))
1.0ms	(cbrt (fma y (/ (- z t) (- a t)) x))

series1.7s

Counts

4 → 12

Calls

4 calls:

717.0ms	(* (cbrt (fma y (/ (- z t) (- a t)) x)) (cbrt (fma y (/ (- z t) (- a t)) x)))
333.0ms	(cbrt (fma y (/ (- z t) (- a t)) x))
338.0ms	(cbrt (fma y (/ (- z t) (- a t)) x))
333.0ms	(cbrt (fma y (/ (- z t) (- a t)) x))

simplify113.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	194	951
1	725	872
2	3526	798
3	5001	776

prune303.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt (fma y (/ (- z t) (- a t)) x)) (cbrt (fma y (/ (- z t) (- a t)) x))))
0.6b	(cbrt (* (cbrt (fma y (/ (- z t) (- a t)) x)) (cbrt (fma y (/ (- z t) (- a t)) x))))
0.6b	(cbrt (cbrt (fma y (/ (- z t) (- a t)) x)))
0.6b	(cbrt (cbrt (fma y (/ (- z t) (- a t)) x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

3.0ms	(cbrt (* (cbrt (fma y (/ (- z t) (- a t)) x)) (cbrt (fma y (/ (- z t) (- a t)) x))))
3.0ms	(cbrt (* (cbrt (fma y (/ (- z t) (- a t)) x)) (cbrt (fma y (/ (- z t) (- a t)) x))))
1.0ms	(cbrt (cbrt (fma y (/ (- z t) (- a t)) x)))
1.0ms	(cbrt (cbrt (fma y (/ (- z t) (- a t)) x)))

series1.7s

Counts

4 → 12

Calls

4 calls:

503.0ms	(cbrt (* (cbrt (fma y (/ (- z t) (- a t)) x)) (cbrt (fma y (/ (- z t) (- a t)) x))))
496.0ms	(cbrt (* (cbrt (fma y (/ (- z t) (- a t)) x)) (cbrt (fma y (/ (- z t) (- a t)) x))))
355.0ms	(cbrt (cbrt (fma y (/ (- z t) (- a t)) x)))
364.0ms	(cbrt (cbrt (fma y (/ (- z t) (- a t)) x)))

simplify72.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	157	768
1	398	692
2	1522	678
3	5001	656

prune341.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.3b

regimes231.0ms

Accuracy

0% (0.2b remaining)

Error of 1.2b against oracle of 1.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample546.0ms

Algorithm

intervals

Results

277.0ms	8778×	body	80	valid
0.0ms	1×	body	640	valid