Details

Time bar (total: 20.6s)

sample48.0ms

Algorithm
intervals
Results
22.0ms468×body80valid

simplify8.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01819
13318
28517
322917
465417
5149217
6273217
7348517
8449417
done500017

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize14.0ms

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)))
6.8b
(* (- (fma c b a)) (* c i))

rewrite13.0ms

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)))
8.0ms
(* (- (fma c b a)) (* c i))

series760.0ms

Counts
3 → 9
Calls
3 calls:
571.0ms
(fma y x (fma t z (* (- (fma c b a)) (* c i))))
131.0ms
(fma t z (* (- (fma c b a)) (* c i)))
57.0ms
(* (- (fma c b a)) (* c i))

simplify1.8s

Counts
57 → 57
Iterations

Useful iterations: 3 (448.0ms)

IterNodesCost
085779
1189764
2621662
32567638
done5000638

prune234.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.8b

localize20.0ms

Local error

Found 4 expressions with local error:

1.3b
(cbrt (fma c b a))
1.3b
(cbrt (fma c b a))
2.3b
(* (cbrt (fma c b a)) (* c i))
4.0b
(* (- (* (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)))

series472.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (fma c b a))
112.0ms
(cbrt (fma c b a))
187.0ms
(* (cbrt (fma c b a)) (* c i))
61.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

simplify731.0ms

Counts
88 → 88
Iterations

Useful iterations: done (728.0ms)

IterNodesCost
01171374
12961341
21028938
done5000930

prune430.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 4 expressions with local error:

1.3b
(cbrt (fma c b a))
1.3b
(cbrt (fma c b a))
2.3b
(* (cbrt (fma c b a)) (* c i))
3.3b
(* (* (cbrt (- (* (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)) (cbrt (fma c b a))))) (* (cbrt (fma c b a)) (* c i))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
41×pow1 add-exp-log
27×pow-prod-down prod-exp cbrt-unprod
21×add-cbrt-cube
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-*r* *-commutative
Counts
4 → 85
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))
68.0ms
(* (* (cbrt (- (* (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)) (cbrt (fma c b a))))) (* (cbrt (fma c b a)) (* c i))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(cbrt (fma c b a))
115.0ms
(cbrt (fma c b a))
188.0ms
(* (cbrt (fma c b a)) (* c i))
131.0ms
(* (* (cbrt (- (* (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)) (cbrt (fma c b a))))) (* (cbrt (fma c b a)) (* c i))))

simplify680.0ms

Counts
97 → 97
Iterations

Useful iterations: done (677.0ms)

IterNodesCost
01352952
13772802
214541620
done50001590

prune470.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 4 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))
0.1b
(* (- (fma c b a)) c)
7.7b
(* (* (- (fma c b a)) c) i)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-sqr-sqrt associate-*l* add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×*-commutative fma-udef
1×neg-mul-1 unswap-sqr
Counts
4 → 69
Calls
4 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))
5.0ms
(* (- (fma c b a)) c)
9.0ms
(* (* (- (fma c b a)) c) i)

series802.0ms

Counts
4 → 12
Calls
4 calls:
572.0ms
(fma y x (fma t z (* (* (- (fma c b a)) c) i)))
135.0ms
(fma t z (* (* (- (fma c b a)) c) i))
33.0ms
(* (- (fma c b a)) c)
61.0ms
(* (* (- (fma c b a)) c) i)

simplify2.9s

Counts
81 → 81
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
0109993
1230967
2868837
34171813
done5001813

prune287.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.7b

regimes476.0ms

Accuracy

-45.7% (1.5b remaining)

Error of 2.5b against oracle of 1.0b and baseline of 2.0b

bsearch148.0ms

Steps
ItersRangePoint
9
5.3788001087926345e-281
6.472638173361818e-274
3.1223938727283748e-276
9
-1.3796081127195508e-154
-1.834547769674711e-162
-1.9198517509076077e-162

simplify7.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02759
14043
25043
35943
done5943

end0.0ms

sample1.4s

Algorithm
intervals
Results
723.0ms15272×body80valid