Details

Time bar (total: 7.0s)

sample51.0ms

Algorithm
intervals
Results
23.0ms497×body80valid

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize16.0ms

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))

rewrite8.0ms

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))))
7.0ms
(* (- (fma c b a)) (* c i))

series847.0ms

Counts
2 → 6
Calls
2 calls:
776.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
70.0ms
(* (- (fma c b a)) (* c i))

simplify127.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
0202293
1771251
24196245
35001242

prune194.0ms

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)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
24×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
17×associate-*l*
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×distribute-lft-neg-in distribute-rgt-neg-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×distribute-lft-neg-out pow1/3 associate-*r* *-commutative
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt (fma c b a))
1.0ms
(cbrt (fma c b a))
11.0ms
(* (- (cbrt (fma c b a))) (* c i))
13.0ms
(* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* (- (cbrt (fma c b a))) (* c i)))

series548.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(cbrt (fma c b a))
127.0ms
(cbrt (fma c b a))
223.0ms
(* (- (cbrt (fma c b a))) (* c i))
64.0ms
(* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* (- (cbrt (fma c b a))) (* c i)))

simplify60.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0375853
11597658
25001577

prune491.0ms

Pruning

12 alts after pruning (10 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)))

rewrite21.0ms

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))
5.0ms
(cbrt (* (- (fma c b a)) (* c i)))
4.0ms
(cbrt (* (- (fma c b a)) (* c i)))
5.0ms
(cbrt (* (- (fma c b a)) (* c i)))

series723.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (- (fma c b a)) (* c i))
214.0ms
(cbrt (* (- (fma c b a)) (* c i)))
213.0ms
(cbrt (* (- (fma c b a)) (* c i)))
233.0ms
(cbrt (* (- (fma c b a)) (* c i)))

simplify123.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0253495
1882441
24363417
35001417

prune416.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.5b

localize24.0ms

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1 add-exp-log
33×add-cbrt-cube
30×pow-prod-down prod-exp cbrt-unprod
17×associate-*l*
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×distribute-lft-neg-in distribute-rgt-neg-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×distribute-lft-neg-out pow1/3 associate-*r* *-commutative
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt (fma c b a))
1.0ms
(cbrt (fma c b a))
7.0ms
(* (- (cbrt (fma c b a))) (* c i))
15.0ms
(* (* (cbrt (fma c b a)) (* (cbrt (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (cbrt (cbrt (fma c b a))))) (* (- (cbrt (fma c b a))) (* c i)))

series500.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(cbrt (fma c b a))
114.0ms
(cbrt (fma c b a))
210.0ms
(* (- (cbrt (fma c b a))) (* c i))
64.0ms
(* (* (cbrt (fma c b a)) (* (cbrt (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (cbrt (cbrt (fma c b a))))) (* (- (cbrt (fma c b a))) (* c i)))

simplify76.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04441436
119341119
250021098

prune507.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.5b

regimes657.0ms

Accuracy

0% (1.3b remaining)

Error of 2.2b against oracle of 0.9b and baseline of 2.2b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02715
13515
25315
35815
45815

end0.0ms

sample1.4s

Algorithm
intervals
Results
710.0ms14985×body80valid