Details

Time bar (total: 17.9s)

sample74.0ms

Algorithm
intervals
Results
33.0ms497×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 4 (138.0ms)

IterNodesCost
01113
12113
25213
317113
449612
5188512
done500112

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* z z))
6.0b
(fma (* y 4.0) (- t (* z z)) (* x x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-neg prod-diff
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- fma-udef difference-of-squares
Counts
2 → 31
Calls
2 calls:
6.0ms
(- t (* z z))
0.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))

series195.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- t (* z z))
144.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))

simplify430.0ms

Counts
37 → 37
Iterations

Useful iterations: done (428.0ms)

IterNodesCost
065421
1155415
2639357
done5000349

prune261.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.4b

localize40.0ms

Local error

Found 4 expressions with local error:

6.0b
(fma (* y 4.0) (* (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))) (cbrt (- t (* z z)))) (* x x))
6.5b
(cbrt (- t (* z z)))
6.5b
(cbrt (- t (* z z)))
6.5b
(cbrt (- t (* z z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- difference-of-squares
1×fma-udef
Counts
4 → 58
Calls
4 calls:
0.0ms
(fma (* y 4.0) (* (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))) (cbrt (- t (* z z)))) (* x x))
5.0ms
(cbrt (- t (* z z)))
5.0ms
(cbrt (- t (* z z)))
5.0ms
(cbrt (- t (* z z)))

series1.4s

Counts
4 → 12
Calls
4 calls:
182.0ms
(fma (* y 4.0) (* (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))) (cbrt (- t (* z z)))) (* x x))
423.0ms
(cbrt (- t (* z z)))
422.0ms
(cbrt (- t (* z z)))
389.0ms
(cbrt (- t (* z z)))

simplify3.1s

Counts
70 → 70
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0971117
12211087
2734834
34171770
done5000767

prune574.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.4b

localize23.0ms

Local error

Found 4 expressions with local error:

1.5b
(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
6.0b
(fma (* y 4.0) (- t (* z z)) (* x x))
6.0b
(fma (* y 4.0) (- t (* z z)) (* x x))
6.0b
(fma (* y 4.0) (- t (* z z)) (* x x))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
0.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))
0.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))
0.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))

series1.0s

Counts
4 → 12
Calls
4 calls:
552.0ms
(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
149.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))
173.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))
169.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))

simplify1.2s

Counts
55 → 55
Iterations

Useful iterations: done (1.2s)

IterNodesCost
070924
1142920
2417799
31788781
done5001775

prune918.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* 4.0 (* t y)))
0.0b
(* 4.0 (* t y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma x x (* 4.0 (* t y)))
24.0ms
(* 4.0 (* t y))

series139.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(fma x x (* 4.0 (* t y)))
47.0ms
(* 4.0 (* t y))

simplify2.6s

Counts
36 → 36
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
052304
1109298
2376252
31620252
done5001252

prune134.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 5.4b

regimes913.0ms

Accuracy

0% (0.8b remaining)

Error of 6.1b against oracle of 5.3b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11112
done1112

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.0s15704×body80valid