Details

Time bar (total: 22.5s)

sample57.0ms

Algorithm
intervals
Results
28.0ms503×body80valid

simplify7.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01819
13318
28517
322917
465417
5149217
6268817
7339217
8430917
done500117

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma y x (fma t z (* (- (fma c b a)) (* c i))))
0.0b
(fma t z (* (- (fma c b a)) (* c i)))
4.5b
(* (- (fma c b a)) (* c i))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
8×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×fma-udef
1×distribute-lft-neg-out neg-mul-1 associate-*r* *-commutative
Counts
3 → 48
Calls
3 calls:
0.0ms
(fma y x (fma t z (* (- (fma c b a)) (* c i))))
0.0ms
(fma t z (* (- (fma c b a)) (* c i)))
9.0ms
(* (- (fma c b a)) (* c i))

series933.0ms

Counts
3 → 9
Calls
3 calls:
697.0ms
(fma y x (fma t z (* (- (fma c b a)) (* c i))))
160.0ms
(fma t z (* (- (fma c b a)) (* c i)))
75.0ms
(* (- (fma c b a)) (* c i))

simplify1.8s

Counts
57 → 57
Iterations

Useful iterations: 3 (491.0ms)

IterNodesCost
085779
1189764
2617662
32573638
done5000638

prune250.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 4 expressions with local error:

4.5b
(* (- (fma c b a)) (* c i))
10.5b
(cbrt (* (- (fma c b a)) (* c i)))
10.5b
(cbrt (* (- (fma c b a)) (* c i)))
10.5b
(cbrt (* (- (fma c b a)) (* c i)))

rewrite26.0ms

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:
9.0ms
(* (- (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)))

series849.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (- (fma c b a)) (* c i))
258.0ms
(cbrt (* (- (fma c b a)) (* c i)))
261.0ms
(cbrt (* (- (fma c b a)) (* c i)))
255.0ms
(cbrt (* (- (fma c b a)) (* c i)))

simplify1.8s

Counts
73 → 73
Iterations

Useful iterations: 3 (624.0ms)

IterNodesCost
0102955
1252926
2776815
33181792
done5001792

prune454.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.0b

localize29.0ms

Local error

Found 4 expressions with local error:

4.5b
(* (- (fma c b a)) (* c i))
10.5b
(cbrt (* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* (- (cbrt (fma c b a))) (* c i))))
10.5b
(cbrt (* (- (fma c b a)) (* c i)))
10.5b
(cbrt (* (- (fma c b a)) (* c i)))

rewrite53.0ms

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:
9.0ms
(* (- (fma c b a)) (* c i))
31.0ms
(cbrt (* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* (- (cbrt (fma c b a))) (* c i))))
5.0ms
(cbrt (* (- (fma c b a)) (* c i)))
6.0ms
(cbrt (* (- (fma c b a)) (* c i)))

series849.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (- (fma c b a)) (* c i))
264.0ms
(cbrt (* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* (- (cbrt (fma c b a))) (* c i))))
258.0ms
(cbrt (* (- (fma c b a)) (* c i)))
256.0ms
(cbrt (* (- (fma c b a)) (* c i)))

simplify2.4s

Counts
73 → 73
Iterations

Useful iterations: 3 (655.0ms)

IterNodesCost
01161124
12721095
2834958
33311935
done5000935

prune530.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.0b

localize35.0ms

Local error

Found 4 expressions with local error:

10.5b
(cbrt (* (- (fma c b a)) (* c i)))
10.5b
(cbrt (* (- (fma c b a)) (* c i)))
10.5b
(cbrt (* (- (fma c b a)) (* c i)))
10.5b
(cbrt (* (- (fma c b a)) (* c i)))

rewrite22.0ms

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

series1.0s

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt (* (- (fma c b a)) (* c i)))
258.0ms
(cbrt (* (- (fma c b a)) (* c i)))
257.0ms
(cbrt (* (- (fma c b a)) (* c i)))
264.0ms
(cbrt (* (- (fma c b a)) (* c i)))

simplify1.5s

Counts
56 → 56
Iterations

Useful iterations: 4 (582.0ms)

IterNodesCost
058800
1126780
2288696
3782676
42118632
done5001632

prune460.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 1.0b

regimes393.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01617
12117
22417
33117
done3117

end0.0ms

sample1.5s

Algorithm
intervals
Results
782.0ms15160×body80valid