Details

Time bar (total: 10.2s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.3s)

IterNodesCost
01317
12617
26117
314017
436317
579015
6271613
done500113

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize9.0ms

Local error

Found 2 expressions with local error:

2.6b
(fma (/ y 2.0) (/ (- t) z) z)
4.4b
(/ y (fma (/ y 2.0) (/ (- t) z) z))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (/ y 2.0) (/ (- t) z) z)
2.0ms
(/ y (fma (/ y 2.0) (/ (- t) z) z))

series132.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(fma (/ y 2.0) (/ (- t) z) z)
70.0ms
(/ y (fma (/ y 2.0) (/ (- t) z) z))

simplify967.0ms

Counts
45 → 45
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
067697
1114688
2248626
3579625
41764625
done5000625

prune139.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.2b

localize11.0ms

Local error

Found 2 expressions with local error:

2.6b
(fma (/ y 2.0) (/ (- t) z) z)
4.4b
(/ y (* 1 (fma (/ y 2.0) (/ (- t) z) z)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
7×add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×times-frac div-exp associate-/l*
2×pow1 cbrt-undiv expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
1×frac-2neg 1-exp clear-num associate-/r* cbrt-unprod fma-udef div-inv
Counts
2 → 34
Calls
2 calls:
0.0ms
(fma (/ y 2.0) (/ (- t) z) z)
3.0ms
(/ y (* 1 (fma (/ y 2.0) (/ (- t) z) z)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(fma (/ y 2.0) (/ (- t) z) z)
72.0ms
(/ y (* 1 (fma (/ y 2.0) (/ (- t) z) z)))

simplify1.7s

Counts
40 → 40
Iterations

Useful iterations: 3 (167.0ms)

IterNodesCost
069587
1147521
2331437
3867436
42965436
done5000436

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.2b

localize18.0ms

Local error

Found 4 expressions with local error:

3.6b
(/ y (* (cbrt (fma (/ y 2.0) (/ (- t) z) z)) (cbrt (fma (/ y 2.0) (/ (- t) z) z))))
9.1b
(cbrt (fma (/ y 2.0) (/ (- t) z) z))
9.1b
(cbrt (fma (/ y 2.0) (/ (- t) z) z))
9.1b
(cbrt (fma (/ y 2.0) (/ (- t) z) z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 62
Calls
4 calls:
4.0ms
(/ y (* (cbrt (fma (/ y 2.0) (/ (- t) z) z)) (cbrt (fma (/ y 2.0) (/ (- t) z) z))))
0.0ms
(cbrt (fma (/ y 2.0) (/ (- t) z) z))
0.0ms
(cbrt (fma (/ y 2.0) (/ (- t) z) z))
1.0ms
(cbrt (fma (/ y 2.0) (/ (- t) z) z))

series788.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(/ y (* (cbrt (fma (/ y 2.0) (/ (- t) z) z)) (cbrt (fma (/ y 2.0) (/ (- t) z) z))))
192.0ms
(cbrt (fma (/ y 2.0) (/ (- t) z) z))
197.0ms
(cbrt (fma (/ y 2.0) (/ (- t) z) z))
193.0ms
(cbrt (fma (/ y 2.0) (/ (- t) z) z))

simplify1.1s

Counts
74 → 74
Iterations

Useful iterations: 3 (319.0ms)

IterNodesCost
01221503
12661452
27171290
322291238
done50011238

prune290.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ y (fma (/ y 2.0) (/ (- t) z) z)) 3)
2.6b
(fma (/ y 2.0) (/ (- t) z) z)
4.4b
(/ y (fma (/ y 2.0) (/ (- t) z) z))
25.8b
(cbrt (pow (/ y (fma (/ y 2.0) (/ (- t) z) z)) 3))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×cbrt-prod
26×unpow-prod-down cube-prod
9×add-exp-log add-cbrt-cube
5×pow1 div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube fma-udef
Counts
4 → 131
Calls
4 calls:
4.0ms
(pow (/ y (fma (/ y 2.0) (/ (- t) z) z)) 3)
0.0ms
(fma (/ y 2.0) (/ (- t) z) z)
2.0ms
(/ y (fma (/ y 2.0) (/ (- t) z) z))
4.0ms
(cbrt (pow (/ y (fma (/ y 2.0) (/ (- t) z) z)) 3))

series400.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(pow (/ y (fma (/ y 2.0) (/ (- t) z) z)) 3)
67.0ms
(fma (/ y 2.0) (/ (- t) z) z)
70.0ms
(/ y (fma (/ y 2.0) (/ (- t) z) z))
95.0ms
(cbrt (pow (/ y (fma (/ y 2.0) (/ (- t) z) z)) 3))

simplify700.0ms

Counts
143 → 143
Iterations

Useful iterations: done (695.0ms)

IterNodesCost
01493002
13452612
210942357
done50002351

prune351.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 1.2b

regimes184.0ms

Accuracy

0% (0.4b remaining)

Error of 0.9b against oracle of 0.5b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01315
11813
done1813

end0.0ms

sample512.0ms

Algorithm
intervals
Results
313.0ms8000×body80valid