Details

Time bar (total: 5.7s)

sample41.0ms

Algorithm
intervals
Results
10.0ms298×body80valid
8.0ms312×body80nan

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0265
1575
21215
32415
43645
54905
66415
710235
817975
921555
1021615
1121615

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.0b
(+ (- 1.0 z) (log z))
0.2b
(* y (+ (- 1.0 z) (log z)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
17×add-sqr-sqrt
13×add-cube-cbrt
11×associate-+l+
9×pow1 prod-diff
8×distribute-lft-out
7×associate-*r*
6×add-log-exp
5×add-exp-log fma-def add-cbrt-cube distribute-lft-out--
4×log-pow
3×expm1-log1p-u associate-+r+ log-prod associate-*l* log1p-expm1-u
2×flip3-+ associate-*r/ sum-log flip-+
1×+-commutative distribute-rgt-in associate-+l- sub-neg distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef difference-of-squares unswap-sqr
Counts
3 → 76
Calls
3 calls:
0.0ms
(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
35.0ms
(+ (- 1.0 z) (log z))
82.0ms
(* y (+ (- 1.0 z) (log z)))

series330.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
175.0ms
(+ (- 1.0 z) (log z))
84.0ms
(* y (+ (- 1.0 z) (log z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0336468
11466370
25001366

prune244.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (- 1.0 z) (log z)))
0.5b
(cbrt (+ (- 1.0 z) (log z)))
0.5b
(cbrt (+ (- 1.0 z) (log z)))
0.5b
(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
143×*-un-lft-identity
93×cbrt-prod
60×distribute-lft-out
41×pow1
30×swap-sqr log-pow distribute-lft-out--
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 139
Calls
4 calls:
18.0ms
(cbrt (+ (- 1.0 z) (log z)))
17.0ms
(cbrt (+ (- 1.0 z) (log z)))
19.0ms
(cbrt (+ (- 1.0 z) (log z)))
149.0ms
(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))

series260.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(cbrt (+ (- 1.0 z) (log z)))
57.0ms
(cbrt (+ (- 1.0 z) (log z)))
64.0ms
(cbrt (+ (- 1.0 z) (log z)))
76.0ms
(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))

simplify92.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06431976
125541898
250011667

prune450.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
0.6b
(cbrt (* y (+ (- 1.0 z) (log z))))
0.6b
(cbrt (* y (+ (- 1.0 z) (log z))))
0.6b
(cbrt (* y (+ (- 1.0 z) (log z))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
28.0ms
(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
23.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))
21.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))
21.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))

series606.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
137.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))
136.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))
142.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))

simplify100.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08101968
135451871
250011830

prune456.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite16.0ms

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:
11.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series807.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (cbrt y) (cbrt y))
193.0ms
(cbrt y)
192.0ms
(cbrt y)
199.0ms
(cbrt y)

simplify101.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune309.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample1.1s

Algorithm
intervals
Results
332.0ms9158×body80valid
246.0ms9026×body80nan