Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

283×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	4

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.8b	(fma (/ (- y z) (- a z)) t x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ (- y z) (- a z)) t x)

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(fma (/ (- y z) (- a z)) t x)

simplify107.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	72
1	85	63
2	226	63
3	852	63
4	4837	63
5	5001	63

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ (- y z) (- a z)) t x)) (cbrt (fma (/ (- y z) (- a z)) t x)))
0.8b	(fma (/ (- y z) (- a z)) t x)
0.8b	(fma (/ (- y z) (- a z)) t x)
0.8b	(fma (/ (- y z) (- a z)) t x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (fma (/ (- y z) (- a z)) t x)) (cbrt (fma (/ (- y z) (- a z)) t x)))
0.0ms	(fma (/ (- y z) (- a z)) t x)
0.0ms	(fma (/ (- y z) (- a z)) t x)
0.0ms	(fma (/ (- y z) (- a z)) t x)

series929.0ms

Counts

4 → 12

Calls

4 calls:

732.0ms	(* (cbrt (fma (/ (- y z) (- a z)) t x)) (cbrt (fma (/ (- y z) (- a z)) t x)))
64.0ms	(fma (/ (- y z) (- a z)) t x)
67.0ms	(fma (/ (- y z) (- a z)) t x)
66.0ms	(fma (/ (- y z) (- a z)) t x)

simplify82.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	184	774
1	643	701
2	2848	626
3	5001	614

prune244.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma (/ (- y z) (- a z)) t x)
0.8b	(fma (/ (- y z) (- a z)) t x)
0.8b	(fma (/ (- y z) (- a z)) t x)
1.1b	(pow (cbrt (cbrt (fma (/ (- y z) (- a z)) t x))) 5)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `unpow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `fma-udef`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 56

Calls

4 calls:

0.0ms	(fma (/ (- y z) (- a z)) t x)
0.0ms	(fma (/ (- y z) (- a z)) t x)
0.0ms	(fma (/ (- y z) (- a z)) t x)
5.0ms	(pow (cbrt (cbrt (fma (/ (- y z) (- a z)) t x))) 5)

series1.0s

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma (/ (- y z) (- a z)) t x)
62.0ms	(fma (/ (- y z) (- a z)) t x)
65.0ms	(fma (/ (- y z) (- a z)) t x)
820.0ms	(pow (cbrt (cbrt (fma (/ (- y z) (- a z)) t x))) 5)

simplify59.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	199	526
1	542	492
2	1933	492
3	5001	483

prune253.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
10.5b	(/ (* (- y z) t) (- a z))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

22.0ms	(+ x (/ (* (- y z) t) (- a z)))
22.0ms	(* (- y z) t)
25.0ms	(/ (* (- y z) t) (- a z))

series145.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ x (/ (* (- y z) t) (- a z)))
27.0ms	(* (- y z) t)
54.0ms	(/ (* (- y z) t) (- a z))

simplify42.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	340	395
1	1442	355
2	5001	353

prune182.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample601.0ms

Algorithm

intervals

Results

241.0ms	8747×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid