Details

Time bar (total: 6.1s)

sample18.0ms

Algorithm
intervals
Results
7.0ms275×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

localize7.0ms

Local error

Found 2 expressions with local error:

2.9b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
2.9b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
26.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
11.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series130.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
64.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011482808
146382733
250022733

prune834.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1.0 (sqrt (fma z z 1.0))) (/ (/ (/ 1 x) (sqrt (fma z z 1.0))) y))
2.3b
(/ (/ (/ 1 x) (sqrt (fma z z 1.0))) y)
15.0b
(sqrt (fma z z 1.0))
15.0b
(sqrt (fma z z 1.0))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
1501×times-frac
779×add-sqr-sqrt
674×*-un-lft-identity
668×add-cube-cbrt
305×sqrt-prod
250×associate-*r*
82×associate-/l*
69×add-exp-log
52×div-inv
45×add-cbrt-cube
39×div-exp
24×unswap-sqr
22×cbrt-undiv associate-*l*
12×prod-exp
8×pow1 cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp 1-exp associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 712
Calls
4 calls:
164.0ms
(* (/ 1.0 (sqrt (fma z z 1.0))) (/ (/ (/ 1 x) (sqrt (fma z z 1.0))) y))
36.0ms
(/ (/ (/ 1 x) (sqrt (fma z z 1.0))) y)
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series246.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (/ 1.0 (sqrt (fma z z 1.0))) (/ (/ (/ 1 x) (sqrt (fma z z 1.0))) y))
77.0ms
(/ (/ (/ 1 x) (sqrt (fma z z 1.0))) y)
55.0ms
(sqrt (fma z z 1.0))
49.0ms
(sqrt (fma z z 1.0))

simplify124.0ms

Algorithm
egg-herbie
Counts
724 → 724
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
027849228
150028711

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.1b

localize8.0ms

Local error

Found 2 expressions with local error:

2.9b
(/ (/ 1.0 x) (fma z z 1.0))
2.9b
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
43×associate-*l*
28×add-cbrt-cube
21×div-exp
13×associate-*r* associate-/l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/r*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative associate-/l/
Counts
2 → 170
Calls
2 calls:
11.0ms
(/ (/ 1.0 x) (fma z z 1.0))
44.0ms
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))

series133.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (/ 1.0 x) (fma z z 1.0))
71.0ms
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))

simplify95.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08971380
140931235
250021223

prune434.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.1b

localize10.0ms

Local error

Found 2 expressions with local error:

2.9b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
2.9b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
26.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
11.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series131.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
65.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011482808
146382733
250022733

prune817.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.1b

regimes143.0ms

Accuracy

0% (0.9b remaining)

Error of 5.9b against oracle of 5.0b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1159

end0.0ms

sample489.0ms

Algorithm
intervals
Results
234.0ms8597×body80valid