Details

Time bar (total: 9.6s)

sample55.0ms

Algorithm
intervals
Results
21.0ms283×body80valid

simplify645.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512211
622311
766811
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
9.1b
(/ (- x (* y z)) (- t (* a z)))

rewrite46.0ms

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:
7.0ms
(- x (* y z))
9.0ms
(- t (* a z))
27.0ms
(/ (- x (* y z)) (- t (* a z)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- x (* y z))
48.0ms
(- t (* a z))
103.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify817.0ms

Counts
83 → 83
Iterations

Useful iterations: done (815.0ms)

IterNodesCost
01201022
1304996
21295907
done5000897

prune311.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- t (* a z))
2.5b
(/ x (- t (* a z)))
9.5b
(/ (* y z) (- t (* a z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×fma-neg prod-diff associate-/r*
4×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l*
3×cbrt-undiv div-exp
2×sub-neg frac-2neg diff-log clear-num div-inv
1×prod-exp cbrt-unprod
Counts
4 → 96
Calls
4 calls:
6.0ms
(- t (* a z))
7.0ms
(- t (* a z))
10.0ms
(/ x (- t (* a z)))
15.0ms
(/ (* y z) (- t (* a z)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- t (* a z))
52.0ms
(- t (* a z))
46.0ms
(/ x (- t (* a z)))
64.0ms
(/ (* y z) (- t (* a z)))

simplify976.0ms

Counts
108 → 108
Iterations

Useful iterations: done (973.0ms)

IterNodesCost
01271142
13001114
21395990
done5000978

prune432.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
2.5b
(/ x (- t (* a z)))
3.4b
(* y (/ z (- t (* a z))))
8.3b
(/ z (- t (* a z)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
30×add-cube-cbrt *-un-lft-identity
28×times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×cbrt-undiv fma-neg div-exp associate-*l* prod-diff div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log associate-*r/ pow-prod-down *-commutative
Counts
4 → 118
Calls
4 calls:
7.0ms
(- t (* a z))
23.0ms
(/ x (- t (* a z)))
48.0ms
(* y (/ z (- t (* a z))))
20.0ms
(/ z (- t (* a z)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- t (* a z))
47.0ms
(/ x (- t (* a z)))
69.0ms
(* y (/ z (- t (* a z))))
81.0ms
(/ z (- t (* a z)))

simplify811.0ms

Counts
130 → 130
Iterations

Useful iterations: done (806.0ms)

IterNodesCost
01631454
13861417
214271282
done50001278

prune545.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (- t (* a z)))
2.4b
(* x (/ 1 (- t (* a z))))
3.4b
(* y (/ z (- t (* a z))))
8.3b
(/ z (- t (* a z)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
39×times-frac
37×*-un-lft-identity
36×add-cube-cbrt
30×associate-*r*
24×add-exp-log
18×add-cbrt-cube
9×pow1
8×associate-/r/
6×div-exp associate-*l* prod-exp associate-/r* associate-/l*
5×unswap-sqr
4×cbrt-undiv expm1-log1p-u flip3-- flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
2×rec-exp frac-2neg 1-exp associate-*r/ pow-prod-down clear-num *-commutative
1×pow-flip un-div-inv inv-pow
Counts
4 → 142
Calls
4 calls:
18.0ms
(/ 1 (- t (* a z)))
35.0ms
(* x (/ 1 (- t (* a z))))
25.0ms
(* y (/ z (- t (* a z))))
12.0ms
(/ z (- t (* a z)))

series348.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ 1 (- t (* a z)))
76.0ms
(* x (/ 1 (- t (* a z))))
78.0ms
(* y (/ z (- t (* a z))))
89.0ms
(/ z (- t (* a z)))

simplify1.2s

Counts
154 → 154
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01811778
14611653
220351454
done50001450

prune600.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.1b

regimes429.0ms

Accuracy

52% (0.8b remaining)

Error of 7.5b against oracle of 6.8b and baseline of 8.4b

bsearch123.0ms

Steps
ItersRangePoint
6
1.126833560581717e-107
1.0553990283636674e-106
1.2491277139921657e-107
9
-1.3026076613842493e-109
-5.0133943439061705e-115
-1.3128790634905815e-112

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02368
12852
done2852

end0.0ms

sample1.3s

Algorithm
intervals
Results
549.0ms8728×body80valid