Details

Time bar (total: 8.5s)

sample110.0ms

Algorithm
intervals
Results
39.0ms946×body80nan
12.0ms257×body80valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (14.0ms)

IterNodesCost
0216
1526
21346
32826
45415
57525
69685
711995
813275
913275
done13275

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (log y) x (- (log t) (+ y z)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (log y) x (- (log t) (+ y z)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify78.0ms

Counts
13 → 13
Iterations

Useful iterations: 4 (76.0ms)

IterNodesCost
07393
117180
248278
3266077
4500274
done500274

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
14.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
335.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
326.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
331.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
350.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify51.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03931346
115561220
250011117
done50011117

prune330.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.5b
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
11.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
5.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
2.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
340.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
351.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
360.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
341.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify76.0ms

Counts
94 → 94
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06871470
126781352
250021258
done50021258

prune437.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.5b
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
38×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×pow1
14×pow1/3
12×swap-sqr associate-*r* associate-*l*
8×add-exp-log unswap-sqr
4×expm1-log1p-u pow-prod-down pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
14.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
11.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
5.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
1.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
356.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
367.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
357.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
349.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify71.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05541948
121621811
250011624
done50011624

prune476.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes281.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105
done105

end0.0ms

sample2.1s

Algorithm
intervals
Results
726.0ms23839×body80nan
309.0ms8031×body80valid
0.0ms1×body640valid