Details

Time bar (total: 12.7s)

sample34.0ms

Algorithm
intervals
Results
14.0ms347×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5000
61582
5409
4172
371
232
116
09

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

2.6b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y a) (- t z) x)

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(fma (/ y a) (- t z) x)

simplify1.9s

Counts
13 → 13
Iterations
IterNodes
done5000
41994
3284
294
141
024

prune81.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (- t z) (/ y a) x))
2.6b
(fma (- t z) (/ y a) x)
2.6b
(fma (- t z) (/ y a) x)
2.6b
(fma (- t z) (/ y a) x)

rewrite2.0ms

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

series576.0ms

Counts
4 → 12
Calls
4 calls:
324.0ms
(cbrt (fma (- t z) (/ y a) x))
84.0ms
(fma (- t z) (/ y a) x)
91.0ms
(fma (- t z) (/ y a) x)
77.0ms
(fma (- t z) (/ y a) x)

simplify608.0ms

Counts
55 → 55
Iterations
IterNodes
done5000
31112
2284
1118
061

prune504.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- t z))
6.9b
(/ y (/ a (- t z)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
18.0ms
(/ a (- t z))
27.0ms
(/ y (/ a (- t z)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ a (- t z))
86.0ms
(/ y (/ a (- t z)))

simplify1.0s

Counts
149 → 149
Iterations
IterNodes
done5002
22760
1572
0227

prune947.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (/ (/ a y) (- t z)))
7.1b
(/ (/ a y) (- t z))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
458×add-sqr-sqrt *-un-lft-identity
326×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
32×div-inv
28×add-exp-log
18×div-exp
16×add-cbrt-cube associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip--
3×pow1 rec-exp 1-exp
2×expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
2 → 416
Calls
2 calls:
58.0ms
(/ 1 (/ (/ a y) (- t z)))
29.0ms
(/ (/ a y) (- t z))

series120.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ 1 (/ (/ a y) (- t z)))
51.0ms
(/ (/ a y) (- t z))

simplify1.1s

Counts
422 → 422
Iterations
IterNodes
done5001
11611
0560

prune1.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes465.0ms

Accuracy

61.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.6b

bsearch93.0ms

Steps
ItersRangePoint
8
7.088116159699808e+40
1.951333632833995e+45
2.6109669302145986e+41
8
-6.41309587629849e+48
-2.1304251959792986e+46
-2.71710141761662e+48

simplify3.0ms

Iterations
IterNodes
done34
134
023

end0.0ms

sample1.8s

Algorithm
intervals
Results
927.0ms10647×body80valid