Details

Time bar (total: 8.7s)

sample73.0ms

Algorithm
intervals
Results
24.0ms763×body80nan
10.0ms256×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
22.0ms
(- (log t) (+ y z))
1.0ms
(fma (log y) x (- (log t) (+ y z)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (log t) (+ y z))
59.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify102.0ms

Counts
60 → 60
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0242500
1768348
24200307
35001307
done5001307

prune128.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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))))
11.0ms
(* (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))))
338.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
329.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
341.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify56.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
03931346
115561220
250011117
done50011117

prune365.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(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 (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))))
5.0ms
(cbrt (* (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)))))
1.0ms
(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))))
350.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
349.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
347.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify83.0ms

Counts
94 → 94
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06871470
126781352
250021258
done50021258

prune443.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (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)))))) (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)))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
24×add-sqr-sqrt
17×add-cube-cbrt
16×pow1 *-un-lft-identity
12×associate-*r*
11×add-exp-log pow1/3
7×swap-sqr associate-*l* pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 94
Calls
4 calls:
5.0ms
(cbrt (* (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)))))
38.0ms
(* (* (cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))) (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:
357.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (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)))))
355.0ms
(* (* (cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))) (cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
347.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify83.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06282170
125761970
250021757
done50021757

prune432.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes222.0ms

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
769.0ms23869×body80nan
329.0ms8036×body80valid
0.0ms1×body320valid