Details

Time bar (total: 6.1s)

sample46.0ms

Algorithm
intervals
Results
22.0ms460×body80valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (* z t))
0.0b
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
0.0b
(* 2.0 (* (- (fma c b a)) (* c i)))
6.4b
(* (- (fma c b a)) (* c i))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
13×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-lft-neg-out associate-*r* *-commutative fma-udef
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 72
Calls
4 calls:
0.0ms
(fma x y (* z t))
0.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
19.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
8.0ms
(* (- (fma c b a)) (* c i))

series820.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(fma x y (* z t))
662.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
63.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
55.0ms
(* (- (fma c b a)) (* c i))

simplify41.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0284526
11170437
25002427

prune301.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.2b

localize21.0ms

Local error

Found 4 expressions with local error:

1.9b
(cbrt (fma c b a))
1.9b
(cbrt (fma c b a))
2.2b
(* (cbrt (fma c b a)) (* c i))
3.1b
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

rewrite29.0ms

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:
0.0ms
(cbrt (fma c b a))
0.0ms
(cbrt (fma c b a))
7.0ms
(* (cbrt (fma c b a)) (* c i))
19.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

series456.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (fma c b a))
107.0ms
(cbrt (fma c b a))
181.0ms
(* (cbrt (fma c b a)) (* c i))
62.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

simplify45.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0296680
11143557
25001479

prune393.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

localize22.0ms

Local error

Found 4 expressions with local error:

1.9b
(cbrt (fma c b a))
1.9b
(cbrt (fma c b a))
2.2b
(* (cbrt (fma c b a)) (* c i))
2.3b
(* (- (cbrt (fma c b a))) (* (cbrt (fma c b a)) (* (cbrt (fma c b a)) (* c i))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log
22×associate-*l*
16×add-cbrt-cube
15×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
6×distribute-lft-neg-in distribute-rgt-neg-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-*r* *-commutative
1×distribute-lft-neg-out neg-mul-1
Counts
4 → 89
Calls
4 calls:
0.0ms
(cbrt (fma c b a))
1.0ms
(cbrt (fma c b a))
7.0ms
(* (cbrt (fma c b a)) (* c i))
51.0ms
(* (- (cbrt (fma c b a))) (* (cbrt (fma c b a)) (* (cbrt (fma c b a)) (* c i))))

series464.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(cbrt (fma c b a))
111.0ms
(cbrt (fma c b a))
183.0ms
(* (cbrt (fma c b a)) (* c i))
60.0ms
(* (- (cbrt (fma c b a))) (* (cbrt (fma c b a)) (* (cbrt (fma c b a)) (* c i))))

simplify52.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0354831
11401681
25001602

prune454.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.2b

localize27.0ms

Local error

Found 4 expressions with local error:

1.9b
(cbrt (fma c b a))
1.9b
(cbrt (fma c b a))
1.9b
(cbrt (fma c b a))
3.1b
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (cbrt (fma c b a))) (* c i))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l*
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 → 69
Calls
4 calls:
1.0ms
(cbrt (fma c b a))
0.0ms
(cbrt (fma c b a))
1.0ms
(cbrt (fma c b a))
53.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (cbrt (fma c b a))) (* c i))))

series399.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(cbrt (fma c b a))
109.0ms
(cbrt (fma c b a))
109.0ms
(cbrt (fma c b a))
64.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (cbrt (fma c b a))) (* c i))))

simplify55.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0319937
11394788
25001749

prune424.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 1.2b

regimes420.0ms

Accuracy

0% (0.9b remaining)

Error of 1.6b against oracle of 0.7b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1318
2418
3418

end0.0ms

sample1.3s

Algorithm
intervals
Results
700.0ms15446×body80valid