Details

Time bar (total: 9.4s)

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22412
32812
done2812

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
1.2b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.0b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
times-frac
add-cbrt-cube
add-exp-log
pow1 add-log-exp
expm1-log1p-u associate-*r* associate-*l* associate-/r* log1p-expm1-u associate-/l*
flip3-- associate-/r/ flip--
cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-exp prod-diff pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 67
Calls
3 calls:
11.0ms
(* 1.1283791670955126 (exp z))
12.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
19.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* 1.1283791670955126 (exp z))
61.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
79.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.6s

Counts
76 → 76
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0129955
1291918
2732850
31783850
44259833
done5000832

prune185.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (exp z) (/ 1.1283791670955126 y))
0.1b
(/ 1 (- (* (exp z) (/ 1.1283791670955126 y)) x))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
add-exp-log add-cbrt-cube
pow1
div-exp associate-*l* associate-/r* associate-/l*
cbrt-undiv expm1-log1p-u prod-exp associate-/r/ cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
rec-exp flip3-- pow-flip frac-2neg 1-exp associate-*r/ pow-prod-down clear-num *-commutative flip-- inv-pow
Counts
2 → 69
Calls
2 calls:
19.0ms
(* (exp z) (/ 1.1283791670955126 y))
29.0ms
(/ 1 (- (* (exp z) (/ 1.1283791670955126 y)) x))

series92.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (exp z) (/ 1.1283791670955126 y))
70.0ms
(/ 1 (- (* (exp z) (/ 1.1283791670955126 y)) x))

simplify1.9s

Counts
75 → 75
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0155942
1355858
21041796
33484793
done5000792

prune161.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1.1283791670955126 y)) (cbrt (/ 1.1283791670955126 y)))
0.6b
(cbrt (/ 1.1283791670955126 y))
0.6b
(cbrt (/ 1.1283791670955126 y))
0.6b
(cbrt (/ 1.1283791670955126 y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
27.0ms
(* (cbrt (/ 1.1283791670955126 y)) (cbrt (/ 1.1283791670955126 y)))
2.0ms
(cbrt (/ 1.1283791670955126 y))
2.0ms
(cbrt (/ 1.1283791670955126 y))
2.0ms
(cbrt (/ 1.1283791670955126 y))

series817.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(* (cbrt (/ 1.1283791670955126 y)) (cbrt (/ 1.1283791670955126 y)))
194.0ms
(cbrt (/ 1.1283791670955126 y))
198.0ms
(cbrt (/ 1.1283791670955126 y))
195.0ms
(cbrt (/ 1.1283791670955126 y))

simplify2.1s

Counts
164 → 164
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01461894
12251747
26011685
312371616
439971610
done50001571

prune562.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11512
done1512

end0.0ms

sample486.0ms

Algorithm
intervals
Results
242.0ms8000×body80valid