Details

sample33.0ms

Algorithm

intervals

Results

20.0ms

278×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.5b	(fma y (/ (- z t) (- a t)) x)

rewrite17.0ms

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:

13.0ms	(/ (- z t) (- a t))
0.0ms	(fma y (/ (- z t) (- a t)) x)

series136.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- z t) (- a t))
82.0ms	(fma y (/ (- z t) (- a t)) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

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

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
0.5b	(fma y (* (- z t) (/ 1 (- a t))) x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

6.0ms	(/ 1 (- a t))
30.0ms	(* (- z t) (/ 1 (- a t)))
0.0ms	(fma y (* (- z t) (/ 1 (- a t))) x)

series176.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1 (- a t))
51.0ms	(* (- z t) (/ 1 (- a t)))
84.0ms	(fma y (* (- z t) (/ 1 (- a t))) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	333	585
1	1453	510
2	5001	468

prune295.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma y (* (* (cbrt (* (- z t) (/ 1 (- a t)))) (cbrt (* (- z t) (/ 1 (- a t))))) (cbrt (* (- z t) (/ 1 (- a t))))) x)
3.8b	(cbrt (* (- z t) (/ 1 (- a t))))
3.8b	(cbrt (* (- z t) (/ 1 (- a t))))
3.8b	(cbrt (* (- z t) (/ 1 (- a t))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
6×	`frac-times` `flip3--` `associate-*l/` `flip--`
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` `pow1/3` `associate-*r/` `un-div-inv`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

0.0ms	(fma y (* (* (cbrt (* (- z t) (/ 1 (- a t)))) (cbrt (* (- z t) (/ 1 (- a t))))) (cbrt (* (- z t) (/ 1 (- a t))))) x)
9.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
8.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
9.0ms	(cbrt (* (- z t) (/ 1 (- a t))))

series1.2s

Counts

4 → 12

Calls

4 calls:

90.0ms	(fma y (* (* (cbrt (* (- z t) (/ 1 (- a t)))) (cbrt (* (- z t) (/ 1 (- a t))))) (cbrt (* (- z t) (/ 1 (- a t))))) x)
357.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
366.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
354.0ms	(cbrt (* (- z t) (/ 1 (- a t))))

simplify84.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	225	785
1	667	715
2	2896	683
3	5002	668

prune368.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

0.0ms	(fma y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))) x)
2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))

series614.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(fma y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))) x)
177.0ms	(cbrt (- z t))
177.0ms	(cbrt (- z t))
169.0ms	(cbrt (- z t))

simplify173.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 4 (166.0ms)

Iter	Nodes	Cost
0	192	502
1	430	464
2	1256	445
3	4534	424
4	5001	421

prune307.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b 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

sample939.0ms

Algorithm

intervals

Results

658.0ms	8719×	body	80	valid
0.0ms	1×	body	640	valid