Details

Time bar (total: 7.0s)

sample50.0ms

Algorithm
intervals
Results
23.0ms497×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018

prune15.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
4.8b
(* (- (fma c b a)) (* c i))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out neg-mul-1 associate-*r* *-commutative fma-udef
Counts
2 → 38
Calls
2 calls:
1.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
6.0ms
(* (- (fma c b a)) (* c i))

series742.0ms

Counts
2 → 6
Calls
2 calls:
684.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
58.0ms
(* (- (fma c b a)) (* c i))

simplify124.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0202293
1771251
24196245
35001242

prune195.0ms

Filtered
44 candidates to 33 candidates (75.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (fma c b a))
1.0b
(cbrt (fma c b a))
2.2b
(* (cbrt (fma c b a)) (* c i))
2.5b
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
14×add-cbrt-cube
12×associate-*l*
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-*r* *-commutative
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt (fma c b a))
1.0ms
(cbrt (fma c b a))
6.0ms
(* (cbrt (fma c b a)) (* c i))
9.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

series472.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (fma c b a))
111.0ms
(cbrt (fma c b a))
189.0ms
(* (cbrt (fma c b a)) (* c i))
59.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

simplify49.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0296680
11143557
25001479

prune429.0ms

Filtered
88 candidates to 68 candidates (77.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

4.8b
(* (- (fma c b a)) (* c i))
12.1b
(cbrt (* (- (fma c b a)) (* c i)))
12.1b
(cbrt (* (- (fma c b a)) (* c i)))
12.1b
(cbrt (* (- (fma c b a)) (* c i)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod distribute-lft-neg-in distribute-rgt-neg-in pow1/3 pow-prod-down prod-exp cbrt-unprod
1×distribute-lft-neg-out neg-mul-1 associate-*r* *-commutative
Counts
4 → 61
Calls
4 calls:
6.0ms
(* (- (fma c b a)) (* c i))
4.0ms
(cbrt (* (- (fma c b a)) (* c i)))
4.0ms
(cbrt (* (- (fma c b a)) (* c i)))
4.0ms
(cbrt (* (- (fma c b a)) (* c i)))

series699.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (- (fma c b a)) (* c i))
212.0ms
(cbrt (* (- (fma c b a)) (* c i)))
211.0ms
(cbrt (* (- (fma c b a)) (* c i)))
212.0ms
(cbrt (* (- (fma c b a)) (* c i)))

simplify125.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0253495
1882441
24363417
35001417

prune455.0ms

Filtered
73 candidates to 60 candidates (82.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 4 expressions with local error:

12.1b
(cbrt (* (- (fma c b a)) (* c i)))
12.1b
(cbrt (* (- (fma c b a)) (* c i)))
12.1b
(cbrt (* (- (fma c b a)) (* c i)))
12.1b
(cbrt (* (- (fma c b a)) (* c i)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 44
Calls
4 calls:
4.0ms
(cbrt (* (- (fma c b a)) (* c i)))
5.0ms
(cbrt (* (- (fma c b a)) (* c i)))
5.0ms
(cbrt (* (- (fma c b a)) (* c i)))
5.0ms
(cbrt (* (- (fma c b a)) (* c i)))

series940.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (* (- (fma c b a)) (* c i)))
243.0ms
(cbrt (* (- (fma c b a)) (* c i)))
231.0ms
(cbrt (* (- (fma c b a)) (* c i)))
233.0ms
(cbrt (* (- (fma c b a)) (* c i)))

simplify77.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0126444
1304400
2893388
32764364
45001364

prune395.0ms

Filtered
56 candidates to 52 candidates (92.9%)
Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.5b

regimes618.0ms

Accuracy

0% (1.0b remaining)

Error of 1.9b against oracle of 0.9b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1318
2418
3418

end0.0ms

sample1.4s

Algorithm
intervals
Results
723.0ms14985×body80valid