Details

sample25.0ms

Algorithm

intervals

Results

14.0ms

323×

body

valid

simplify161.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (54.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	92	4
3	232	4
4	491	4
5	785	4
6	1115	4
7	1482	4
8	2218	3
9	3349	3
10	4819	3
11	5001	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- y 1.0) z 1.0)
2.5b	(* (fma (- y 1.0) z 1.0) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (- y 1.0) z 1.0)
3.0ms	(* (fma (- y 1.0) z 1.0) x)

series86.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(fma (- y 1.0) z 1.0)
57.0ms	(* (fma (- y 1.0) z 1.0) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	108	166
1	323	137
2	1922	133
3	5001	133

prune90.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
2.7b	(cbrt (fma (- y 1.0) z 1.0))
2.7b	(cbrt (fma (- y 1.0) z 1.0))
2.7b	(cbrt (fma (- y 1.0) z 1.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

16.0ms	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
0.0ms	(cbrt (fma (- y 1.0) z 1.0))
0.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series381.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
108.0ms	(cbrt (fma (- y 1.0) z 1.0))
111.0ms	(cbrt (fma (- y 1.0) z 1.0))
108.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify94.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	270	794
1	864	635
2	3690	546
3	5002	517

prune232.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.5b

localize15.0ms

Local error

Found 4 expressions with local error:

2.7b	(cbrt (fma (- y 1.0) z 1.0))
2.7b	(cbrt (fma (- y 1.0) z 1.0))
2.7b	(cbrt (fma (- y 1.0) z 1.0))
2.7b	(cbrt (fma (- y 1.0) z 1.0))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 52

Calls

4 calls:

0.0ms	(cbrt (fma (- y 1.0) z 1.0))
0.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series438.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (fma (- y 1.0) z 1.0))
110.0ms	(cbrt (fma (- y 1.0) z 1.0))
111.0ms	(cbrt (fma (- y 1.0) z 1.0))
108.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	146	552
1	360	520
2	1293	476
3	5002	448

prune291.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.5b

localize15.0ms

Local error

Found 4 expressions with local error:

2.7b	(cbrt (fma (- y 1.0) z 1.0))
2.7b	(cbrt (fma (- y 1.0) z 1.0))
2.7b	(cbrt (fma (- y 1.0) z 1.0))
2.7b	(cbrt (fma (- y 1.0) z 1.0))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 52

Calls

4 calls:

0.0ms	(cbrt (fma (- y 1.0) z 1.0))
0.0ms	(cbrt (fma (- y 1.0) z 1.0))
0.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series440.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (fma (- y 1.0) z 1.0))
110.0ms	(cbrt (fma (- y 1.0) z 1.0))
110.0ms	(cbrt (fma (- y 1.0) z 1.0))
110.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	146	552
1	360	520
2	1293	476
3	5002	448

prune288.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 2.5b

regimes108.0ms

Accuracy

0% (0.2b remaining)

Error of 3.6b against oracle of 3.4b and baseline of 3.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample688.0ms

Algorithm

intervals

Results

471.0ms

10116×

body

valid