Details

Time bar (total: 4.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms277×body80valid
1.0ms9×body640valid
1.0ms5×body1280valid
0.0ms5×body320valid
0.0ms3×body160valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0216
1515
21725
34815
412415
531025
650015

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
199×add-sqr-sqrt
195×prod-diff
191×*-un-lft-identity
185×add-cube-cbrt
146×times-frac
82×distribute-rgt-in associate-+r+ distribute-lft-in
16×div-inv
13×fma-neg
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
6×associate-*l*
5×sub-neg difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-def distribute-lft-out--
2×associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 304
Calls
4 calls:
14.0ms
(- (/ 2.0 3.0) z)
17.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
10.0ms
(* (- y x) 6.0)
46.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series156.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
59.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
34.0ms
(* (- y x) 6.0)
42.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify129.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010163937
143622939
250012939

prune663.0ms

Filtered
316 candidates to 179 candidates (56.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

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 x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series728.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt x) (cbrt x))
173.0ms
(cbrt x)
184.0ms
(cbrt x)
171.0ms
(cbrt x)

simplify85.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune277.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.4b
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
133×add-sqr-sqrt
123×*-un-lft-identity
117×add-cube-cbrt prod-diff
92×times-frac
41×distribute-rgt-in distribute-lft-in
13×fma-neg
10×div-inv
9×associate-*r*
8×pow1 add-exp-log associate-*l* add-cbrt-cube
6×add-log-exp
5×difference-of-squares
4×expm1-log1p-u log1p-expm1-u
3×sub-neg flip3-- flip-- distribute-lft-out--
2×associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log fma-udef
Counts
4 → 210
Calls
4 calls:
14.0ms
(- (/ 2.0 3.0) z)
10.0ms
(* (- y x) 6.0)
39.0ms
(* 6.0 (- (/ 2.0 3.0) z))
0.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series158.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
29.0ms
(* (- y x) 6.0)
45.0ms
(* 6.0 (- (/ 2.0 3.0) z))
65.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify66.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05422345
120341603
250021519

prune443.0ms

Filtered
222 candidates to 99 candidates (44.6%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

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 x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series744.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
206.0ms
(cbrt x)
176.0ms
(cbrt x)
176.0ms
(cbrt x)

simplify122.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune243.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes186.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample540.0ms

Algorithm
intervals
Results
265.0ms9400×body80valid
33.0ms266×body640valid
18.0ms139×body1280valid
14.0ms184×body320valid
6.0ms110×body160valid