Details

Time bar (total: 8.3s)

sample76.0ms

Algorithm
intervals
Results
24.0ms805×body80nan
12.0ms256×body80valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (9.0ms)

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (log t) (+ y z))
0.1b
(fma (log y) x (- (log t) (+ y z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
16×prod-diff
14×add-sqr-sqrt
12×add-cube-cbrt
9×pow1
7×log-pow
6×distribute-lft-out
5×add-log-exp
4×fma-neg distribute-lft-out--
3×log-prod associate--l+
2×add-exp-log expm1-log1p-u diff-log add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- sum-log flip-- fma-udef associate--r+ difference-of-squares
Counts
2 → 54
Calls
2 calls:
20.0ms
(- (log t) (+ y z))
0.0ms
(fma (log y) x (- (log t) (+ y z)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (log t) (+ y z))
56.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify97.0ms

Counts
60 → 60
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0242500
1768348
24200307
35001307
done5001307

prune125.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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))))
0.5b
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b
(cbrt (fma (log y) x (- (log t) (+ y z))))

rewrite15.0ms

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:
10.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (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))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))

series1.4s

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
348.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
343.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
324.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify53.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03931346
115491220
250011117
done50011117

prune348.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))))
0.6b
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 50
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))))
5.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
337.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
336.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
342.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
349.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

simplify41.0ms

Counts
62 → 62
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0355925
11186825
25001796
done5001796

prune339.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.6b
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.6b
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 46
Calls
4 calls:
1.0ms
(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))))))
5.0ms
(cbrt (* (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))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
341.0ms
(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))))))
357.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
348.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

simplify41.0ms

Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03551039
11186923
25001892
done5001892

prune295.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes240.0ms

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

sample2.2s

Algorithm
intervals
Results
773.0ms24192×body80nan
329.0ms8042×body80valid
0.0ms1×body640valid
0.0ms1×body320valid