Details

Time bar (total: 14.7s)

sample58.0ms

Algorithm
intervals
Results
20.0ms293×body80valid

simplify583.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512211
622311
766811
done500011

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
9.3b
(/ (- x (* y z)) (- t (* a z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 74
Calls
3 calls:
6.0ms
(- x (* y z))
6.0ms
(- t (* a z))
35.0ms
(/ (- x (* y z)) (- t (* a z)))

series259.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- x (* y z))
74.0ms
(- t (* a z))
142.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify769.0ms

Counts
83 → 83
Iterations

Useful iterations: done (765.0ms)

IterNodesCost
01201022
1304996
21295907
done5000897

prune571.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.3b
(/ 1 (- t (* a z)))
9.0b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
20×times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- fma-neg prod-diff flip--
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 119
Calls
4 calls:
6.0ms
(- x (* y z))
6.0ms
(- t (* a z))
19.0ms
(/ 1 (- t (* a z)))
50.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series269.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- x (* y z))
57.0ms
(- t (* a z))
77.0ms
(/ 1 (- t (* a z)))
97.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify3.2s

Counts
131 → 131
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01611607
14011487
224141280
done50011270

prune619.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
9.0b
(* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* z y))) (/ 1 (- t (* a z))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
16×*-un-lft-identity
15×add-cube-cbrt associate-*r*
13×add-exp-log
11×times-frac
9×cbrt-prod add-cbrt-cube
6×pow1
4×expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×div-exp associate-/r/ cbrt-unprod
1×cbrt-undiv rec-exp flip3-- 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative flip-- div-inv
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
25.0ms
(* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* z y))) (/ 1 (- t (* a z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt x)
272.0ms
(cbrt x)
371.0ms
(cbrt x)
236.0ms
(* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* z y))) (/ 1 (- t (* a z))))

simplify1.5s

Counts
91 → 91
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01161249
12781142
21496828
done5002692

prune657.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 9.2b

localize31.0ms

Local error

Found 4 expressions with local error:

3.5b
(/ (- x (* z y)) (cbrt (- t (* a z))))
7.4b
(cbrt (- t (* a z)))
7.4b
(cbrt (- t (* a z)))
7.4b
(cbrt (- t (* a z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/r*
5×flip3-- add-cbrt-cube flip--
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
27.0ms
(/ (- x (* z y)) (cbrt (- t (* a z))))
3.0ms
(cbrt (- t (* a z)))
3.0ms
(cbrt (- t (* a z)))
5.0ms
(cbrt (- t (* a z)))

series948.0ms

Counts
4 → 12
Calls
4 calls:
475.0ms
(/ (- x (* z y)) (cbrt (- t (* a z))))
132.0ms
(cbrt (- t (* a z)))
172.0ms
(cbrt (- t (* a z)))
169.0ms
(cbrt (- t (* a z)))

simplify933.0ms

Counts
103 → 103
Iterations

Useful iterations: done (929.0ms)

IterNodesCost
01691748
14271664
213761579
done50001533

prune844.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 9.1b

regimes829.0ms

Accuracy

0% (0.3b remaining)

Error of 10.5b against oracle of 10.2b and baseline of 10.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample1.2s

Algorithm
intervals
Results
520.0ms8724×body80valid