Details

Time bar (total: 18.4s)

sample51.0ms

Algorithm
intervals
Results
22.0ms272×body80valid

simplify679.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010205
119205
238205
360205
488205
5122205
6223205
7670205
done5000205

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
7.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* flip3-- fma-neg prod-diff flip-- associate-/l*
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
2 → 54
Calls
2 calls:
9.0ms
(- t (* a z))
28.0ms
(/ (- x (* y z)) (- t (* a z)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- t (* a z))
108.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.2s

Counts
60 → 60
Iterations

Useful iterations: 2 (290.0ms)

IterNodesCost
09916059
125315019
2108214723
done500114723

prune427.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.2b
(/ 1 (- t (* a z)))
7.7b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×flip3-- flip-- add-log-exp
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-/r* fma-neg associate-*l* prod-diff log1p-expm1-u associate-/l* unswap-sqr
2×frac-times cbrt-undiv rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×clear-num sub-neg frac-2neg diff-log pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 99
Calls
3 calls:
5.0ms
(- t (* a z))
8.0ms
(/ 1 (- t (* a z)))
50.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series275.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- t (* a z))
109.0ms
(/ 1 (- t (* a z)))
114.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify4.0s

Counts
108 → 108
Iterations

Useful iterations: done (4.0s)

IterNodesCost
014328485
137123817
2262622453
done500022252

prune827.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 7.5b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.4b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
7.5b
(/ (- t (* a z)) (- x (* y z)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
57×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
7×flip3-- flip--
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×sub-neg diff-log div-sub pow-flip inv-pow
Counts
3 → 140
Calls
3 calls:
5.0ms
(- t (* a z))
26.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
29.0ms
(/ (- t (* a z)) (- x (* y z)))

series545.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- t (* a z))
394.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
96.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify2.9s

Counts
149 → 149
Iterations

Useful iterations: 2 (1.5s)

IterNodesCost
021359129
157149920
2385548451
done500048451

prune889.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.2b
(/ 1 (- t (* a z)))
0.3b
(/ 1 (- x (* y z)))
7.5b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
246×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-- div-inv flip--
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×clear-num frac-2neg fma-neg prod-diff
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 379
Calls
4 calls:
5.0ms
(- t (* a z))
8.0ms
(/ 1 (- t (* a z)))
8.0ms
(/ 1 (- x (* y z)))
27.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series618.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- t (* a z))
98.0ms
(/ 1 (- t (* a z)))
103.0ms
(/ 1 (- x (* y z)))
354.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify1.7s

Counts
391 → 391
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0547233175
11836178659
done5001170045

prune1.9s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 7.5b

regimes785.0ms

Accuracy

0% (0.3b remaining)

Error of 11.0b against oracle of 10.7b and baseline of 11.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010205
112205
done12205

end0.0ms

sample1.1s

Algorithm
intervals
Results
607.0ms8734×body80valid