Details

Time bar (total: 12.1s)

sample76.0ms

Algorithm
intervals
Results
32.0ms395×body80valid

simplify281.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (103.0ms)

IterNodesCost
01315
12615
26712
313811
420110
524410
624710
done24710

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
5.4b
(* (* a z) b)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt fma-def *-un-lft-identity
sum-log
expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
+-commutative flip3-+ flip-+
associate-+l+ associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
62.0ms
(+ (+ x (* y z)) (* t a))
14.0ms
(+ x (* y z))
28.0ms
(* (* a z) b)

series179.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(+ (+ x (* y z)) (* t a))
51.0ms
(+ x (* y z))
33.0ms
(* (* a z) b)

simplify1.3s

Counts
63 → 63
Iterations

Useful iterations: done (1.3s)

IterNodesCost
099536
1286469
21632414
done5000412

prune333.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

5.4b
(* (* a z) b)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
47.0ms
(* (* a z) b)

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* (* a z) b)

simplify715.0ms

Counts
23 → 23
Iterations

Useful iterations: done (714.0ms)

IterNodesCost
042165
1105160
2637136
done5001130

prune125.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

5.2b
(* a (* z b))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*l* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
34.0ms
(* a (* z b))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* a (* z b))

simplify3.4s

Counts
23 → 23
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
038162
188159
2308129
31291129
done5001129

prune95.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.2b
(pow (* a (* z b)) 3)
5.2b
(* a (* z b))
27.6b
(cbrt (pow (* a (* z b)) 3))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u pow-unpow pow-pow associate-*l* pow-exp log1p-expm1-u add-log-exp rem-cube-cbrt
cube-mult unpow-prod-down unpow3 cube-prod sqr-pow
pow-to-exp pow1/3 associate-*r* *-commutative rem-cbrt-cube
Counts
3 → 66
Calls
3 calls:
18.0ms
(pow (* a (* z b)) 3)
42.0ms
(* a (* z b))
11.0ms
(cbrt (pow (* a (* z b)) 3))

series283.0ms

Counts
3 → 9
Calls
3 calls:
174.0ms
(pow (* a (* z b)) 3)
58.0ms
(* a (* z b))
51.0ms
(cbrt (pow (* a (* z b)) 3))

simplify1.7s

Counts
75 → 75
Iterations

Useful iterations: 2 (233.0ms)

IterNodesCost
090672
1230529
21389489
done5000489

prune278.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes250.0ms

Accuracy

57% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.9b

bsearch110.0ms

Steps
ItersRangePoint
4
4.055406512026812e-102
6.203726417901214e-102
4.256811503202537e-102
6
-7.752937490499535e+173
-5.900664799029819e+172
-2.1845983998877422e+173

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02150
13237
done3237

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.4s11842×body80valid