Details

Time bar (total: 8.2s)

sample74.0ms

Algorithm
intervals
Results
31.0ms347×body80valid

simplify270.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (98.0ms)

IterNodesCost
01315
12615
26712
313811
420110
524410
624710
done24710

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ x (* y z))
6.3b
(* (* a z) b)

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
14×add-log-exp
pow1 add-exp-log add-cbrt-cube
sum-log
add-sqr-sqrt add-cube-cbrt fma-def *-un-lft-identity
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 → 55
Calls
3 calls:
166.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
10.0ms
(+ x (* y z))
30.0ms
(* (* a z) b)

series233.0ms

Counts
3 → 9
Calls
3 calls:
153.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
34.0ms
(+ x (* y z))
45.0ms
(* (* a z) b)

simplify1.6s

Counts
64 → 64
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0104691
1301598
21883521
done5001486

prune218.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

3.1b
(fma (fma z b t) a x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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 (fma z b t) a x)

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(fma (fma z b t) a x)

simplify749.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
022125
136123
283103
3435103
done5001103

prune64.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (fma z b t) a x))
3.1b
(fma (fma z b t) a x)
3.1b
(fma (fma z b t) a x)
3.1b
(fma (fma z b t) a x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-prod fma-udef
pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (fma z b t) a x))
0.0ms
(fma (fma z b t) a x)
0.0ms
(fma (fma z b t) a x)
1.0ms
(fma (fma z b t) a x)

series594.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt (fma (fma z b t) a x))
119.0ms
(fma (fma z b t) a x)
96.0ms
(fma (fma z b t) a x)
111.0ms
(fma (fma z b t) a x)

simplify1.6s

Counts
55 → 55
Iterations

Useful iterations: done (1.6s)

IterNodesCost
060578
1120567
2305489
31427482
done5001475

prune233.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes213.0ms

Accuracy

84% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.9b

bsearch81.0ms

Steps
ItersRangePoint
5
1.8651446194373927e-29
4.709091577210833e-29
3.5596181094622544e-29
5
-2.1605646065660852e+84
-8.676153256911245e+83
-1.1059469748029923e+84

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02248
13234
done3234

end0.0ms

sample2.0s

Algorithm
intervals
Results
871.0ms11741×body80valid