Details

Time bar (total: 22.5s)

sample89.0ms

Algorithm
intervals
Results
23.0ms296×body80valid
19.0ms295×body80nan

simplify4.3s

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01112
12611
25711
312411
435511
5105611
6259611
7483411
done500011

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.1b
(* y (+ (- 1.0 z) (log z)))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
7×associate-*r*
6×pow1 add-sqr-sqrt
4×add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out add-log-exp
3×associate-*l*
2×distribute-rgt-in expm1-log1p-u associate-+r+ distribute-lft-in flip3-+ associate-*r/ log-pow flip-+ log1p-expm1-u distribute-lft-out--
1×+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
43.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
189.0ms
(* y (+ (- 1.0 z) (log z)))

series294.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
163.0ms
(* y (+ (- 1.0 z) (log z)))

simplify1.4s

Counts
50 → 50
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0106665
1336593
21444539
done5002538

prune366.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 z) y)
0.0b
(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
0.2b
(+ (* (- 1.0 z) y) (* (log z) y))
0.2b
(* (log z) y)

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×add-log-exp
10×*-un-lft-identity
9×pow1 associate-*l*
8×add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
4×expm1-log1p-u sum-log log1p-expm1-u
2×+-commutative fma-def flip3-+ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×associate-+r+ distribute-rgt-out flip3-- log-pow flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 76
Calls
4 calls:
49.0ms
(* (- 1.0 z) y)
60.0ms
(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
40.0ms
(+ (* (- 1.0 z) y) (* (log z) y))
17.0ms
(* (log z) y)

series513.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (- 1.0 z) y)
128.0ms
(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
189.0ms
(+ (* (- 1.0 z) y) (* (log z) y))
132.0ms
(* (log z) y)

simplify3.6s

Counts
88 → 88
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01521011
1437831
21977774
done5000769

prune657.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 0.5) (* (+ (- 1.0 z) (log z)) y))
0.1b
(* (+ (- 1.0 z) (log z)) y)

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
7×associate-*l*
6×pow1 add-sqr-sqrt
4×add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-+ associate-*l/ log-pow flip-+ log1p-expm1-u distribute-lft-out--
1×+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
46.0ms
(+ (* x 0.5) (* (+ (- 1.0 z) (log z)) y))
190.0ms
(* (+ (- 1.0 z) (log z)) y)

series314.0ms

Counts
2 → 6
Calls
2 calls:
148.0ms
(+ (* x 0.5) (* (+ (- 1.0 z) (log z)) y))
165.0ms
(* (+ (- 1.0 z) (log z)) y)

simplify1.7s

Counts
46 → 46
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0101649
1296585
21382534
done5000531

prune338.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:
23.0ms
(* (cbrt y) (cbrt y))
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.7s

Counts
4 → 12
Calls
4 calls:
459.0ms
(* (cbrt y) (cbrt y))
402.0ms
(cbrt y)
415.0ms
(cbrt y)
403.0ms
(cbrt y)

simplify1.8s

Counts
93 → 93
Iterations

Useful iterations: done (1.7s)

IterNodesCost
065554
1143443
2719423
done5000409

prune772.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes622.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11512
done1512

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.4s9105×body80nan
839.0ms9220×body80valid