Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

328×

body

valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma x y (* (- x 1.0) z))
10.0ms	(* (- x 1.0) z)

series67.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma x y (* (- x 1.0) z))
34.0ms	(* (- x 1.0) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	133	158
1	462	135
2	2228	135
3	5001	135

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z))))
0.5b	(cbrt (fma x y (* (- x 1.0) z)))
0.5b	(cbrt (fma x y (* (- x 1.0) z)))
0.5b	(cbrt (fma x y (* (- x 1.0) z)))

rewrite9.0ms

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:

5.0ms	(* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z))))
0.0ms	(cbrt (fma x y (* (- x 1.0) z)))
0.0ms	(cbrt (fma x y (* (- x 1.0) z)))
1.0ms	(cbrt (fma x y (* (- x 1.0) z)))

series708.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z))))
162.0ms	(cbrt (fma x y (* (- x 1.0) z)))
167.0ms	(cbrt (fma x y (* (- x 1.0) z)))
164.0ms	(cbrt (fma x y (* (- x 1.0) z)))

simplify106.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	246	872
1	785	805
2	3708	713
3	5001	681

prune238.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
3.1b	(* (- (* x x) (* 1.0 1.0)) z)
8.5b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
0.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
10.0ms	(* (- (* x x) (* 1.0 1.0)) z)
9.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series210.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* x x) (* 1.0 1.0))
63.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
41.0ms	(* (- (* x x) (* 1.0 1.0)) z)
61.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	340	604
1	1528	519
2	5003	502

prune226.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(fma x y (* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0))))
0.0b	(/ z (+ x 1.0))
10.9b	(* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `associate-/r*` `associate-/r/` `log1p-expm1-u`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `associate-r/` `prod-diff` `pow-prod-down` `clear-num` `-commutative` `fma-udef`

Counts

4 → 106

Calls

4 calls:

6.0ms	(- (* x x) (* 1.0 1.0))
0.0ms	(fma x y (* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0))))
5.0ms	(/ z (+ x 1.0))
22.0ms	(* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* x x) (* 1.0 1.0))
58.0ms	(fma x y (* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0))))
38.0ms	(/ z (+ x 1.0))
57.0ms	(* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	412	779
1	1857	697
2	5003	678

prune292.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes250.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample442.0ms

Algorithm

intervals

Results

236.0ms

10189×

body

valid

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3