Details

Time bar (total: 4.7s)

sample28.0ms

Algorithm
intervals
Results
13.0ms322×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (16.0ms)

IterNodesCost
0258
1508
21068
32088
43226
55206
614396
750026

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
9.0b
(/ (fma z (- 1.0 t) 1) z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
3.0ms
(/ (fma z (- 1.0 t) 1) z)

series136.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
38.0ms
(/ (fma z (- 1.0 t) 1) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0142296
1371268
21311266
35001265

prune166.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 1 z) 1.0)
0.1b
(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×fma-def
12×*-un-lft-identity
9×add-sqr-sqrt add-cube-cbrt times-frac
4×add-log-exp
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u div-inv distribute-lft-out
1×+-commutative flip3-+ sum-log flip-+ fma-udef
Counts
2 → 38
Calls
2 calls:
14.0ms
(+ (/ 1 z) 1.0)
1.0ms
(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

series73.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (/ 1 z) 1.0)
61.0ms
(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

simplify48.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0132173
1339153
21405151
35001149

prune163.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 div-inv
7×cbrt-div
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 161
Calls
4 calls:
20.0ms
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
2.0ms
(cbrt (/ 1 z))
2.0ms
(cbrt (/ 1 z))
2.0ms
(cbrt (/ 1 z))

series844.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
206.0ms
(cbrt (/ 1 z))
208.0ms
(cbrt (/ 1 z))
204.0ms
(cbrt (/ 1 z))

simplify58.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
02231172
19021064
25001904

prune546.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt (/ 1 z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
29×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
11×pow1
9×times-frac 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 cbrt-div pow-plus prod-exp *-commutative cbrt-unprod div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
6.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt (/ 1 z))

series867.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt z)
209.0ms
(cbrt z)
246.0ms
(* (cbrt z) (cbrt z))
206.0ms
(cbrt (/ 1 z))

simplify149.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0188402
1725366
24598325
35001325

prune388.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes253.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1166

end0.0ms

sample711.0ms

Algorithm
intervals
Results
426.0ms10529×body80valid