Details

Time bar (total: 8.2s)

sample85.0ms

Algorithm
intervals
Results
56.0ms503×body80valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (* (- (fma c b a)) (* c i)))
6.2b
(* (- (fma c b a)) (* c i))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
13×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-lft-neg-out expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
1×neg-mul-1 distribute-rgt-neg-out
Counts
2 → 52
Calls
2 calls:
20.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
8.0ms
(* (- (fma c b a)) (* c i))

series139.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
66.0ms
(* (- (fma c b a)) (* c i))

simplify49.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0238352
11040291
25002281

prune220.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.3b

localize21.0ms

Local error

Found 4 expressions with local error:

2.0b
(cbrt (fma c b a))
2.0b
(cbrt (fma c b a))
2.0b
(cbrt (fma c b a))
3.4b
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
11×add-cbrt-cube
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in associate-*r* *-commutative
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt (fma c b a))
0.0ms
(cbrt (fma c b a))
1.0ms
(cbrt (fma c b a))
19.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

series451.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (fma c b a))
124.0ms
(cbrt (fma c b a))
127.0ms
(cbrt (fma c b a))
70.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

simplify56.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0264614
11075499
25001419

prune423.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.3b

localize21.0ms

Local error

Found 4 expressions with local error:

6.2b
(* (- (fma c b a)) (* c i))
12.4b
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
12.4b
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
12.4b
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))

rewrite52.0ms

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:
8.0ms
(* (- (fma c b a)) (* c i))
14.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
14.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
14.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))

series798.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (- (fma c b a)) (* c i))
248.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
240.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
244.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))

simplify143.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0261534
1911474
24510450
35001450

prune447.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 1.2b

localize36.0ms

Local error

Found 4 expressions with local error:

6.2b
(* (- (fma c b a)) (* c i))
12.4b
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
12.4b
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
12.4b
(cbrt (* 2.0 (* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))))

rewrite84.0ms

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:
8.0ms
(* (- (fma c b a)) (* c i))
17.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
14.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
42.0ms
(cbrt (* 2.0 (* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))))

series806.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (- (fma c b a)) (* c i))
250.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
239.0ms
(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
243.0ms
(cbrt (* 2.0 (* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))))

simplify151.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0287625
1999551
24893527
35001527

prune494.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 1.2b

regimes1.1s

Accuracy

0% (0.8b remaining)

Error of 1.6b against oracle of 0.8b and baseline of 1.6b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0238
1318
2418
3418

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.7s15430×body80valid