Details

Time bar (total: 13.8s)

sample23.0ms

Algorithm
intervals
Results
9.0ms267×body80valid
0.0ms1×body1280valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 4 (31.0ms)

IterNodesCost
01213
12513
25813
310813
419412
531512
648812
769612
8102212
9134512
10154512
11160412
12161412
done161412

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (+ (- t z) 1.0))
0.3b
(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out distribute-lft-out--
6×difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
29.0ms
(/ (- z y) (+ (- t z) 1.0))
0.0ms
(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series150.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z y) (+ (- t z) 1.0))
99.0ms
(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify1.2s

Counts
70 → 70
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01161048
12791006
2724940
32174936
done5000934

prune214.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- t z) 1.0))
0.2b
(* (- z y) (/ 1 (+ (- t z) 1.0)))
0.3b
(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
32×add-sqr-sqrt times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
14×distribute-lft-out
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1
5×associate-*l* associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow difference-of-squares
Counts
3 → 105
Calls
3 calls:
22.0ms
(/ 1 (+ (- t z) 1.0))
52.0ms
(* (- z y) (/ 1 (+ (- t z) 1.0)))
0.0ms
(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

series195.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ 1 (+ (- t z) 1.0))
51.0ms
(* (- z y) (/ 1 (+ (- t z) 1.0)))
100.0ms
(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

simplify2.7s

Counts
114 → 114
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01561489
13891239
211321109
338381104
done50001103

prune324.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ 1 (+ (- t z) 1.0))) (cbrt (/ 1 (+ (- t z) 1.0))))
0.5b
(cbrt (/ 1 (+ (- t z) 1.0)))
0.5b
(cbrt (/ 1 (+ (- t z) 1.0)))
0.5b
(cbrt (/ 1 (+ (- t z) 1.0)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
270×*-un-lft-identity
211×cbrt-prod
157×times-frac
123×add-sqr-sqrt
83×add-cube-cbrt
66×distribute-lft-out
44×swap-sqr
33×distribute-lft-out--
24×associate-*r* associate-*l*
16×unswap-sqr
14×associate-/r/
11×pow1
9×pow1/3 div-inv
7×cbrt-div flip3-+ flip-+
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 227
Calls
4 calls:
102.0ms
(* (cbrt (/ 1 (+ (- t z) 1.0))) (cbrt (/ 1 (+ (- t z) 1.0))))
11.0ms
(cbrt (/ 1 (+ (- t z) 1.0)))
10.0ms
(cbrt (/ 1 (+ (- t z) 1.0)))
11.0ms
(cbrt (/ 1 (+ (- t z) 1.0)))

series520.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (cbrt (/ 1 (+ (- t z) 1.0))) (cbrt (/ 1 (+ (- t z) 1.0))))
126.0ms
(cbrt (/ 1 (+ (- t z) 1.0)))
126.0ms
(cbrt (/ 1 (+ (- t z) 1.0)))
131.0ms
(cbrt (/ 1 (+ (- t z) 1.0)))

simplify1.2s

Counts
239 → 239
Iterations

Useful iterations: 3 (543.0ms)

IterNodesCost
02155199
14184360
29534281
324533784
done50013784

prune685.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x)) (cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x)))
0.6b
(cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x))
0.6b
(cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x))
0.6b
(cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x)) (cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x)))
1.0ms
(cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x))
1.0ms
(cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x))
1.0ms
(cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x))

series2.1s

Counts
4 → 12
Calls
4 calls:
628.0ms
(* (cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x)) (cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x)))
479.0ms
(cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x))
482.0ms
(cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x))
472.0ms
(cbrt (fma a (/ (- z y) (+ 1.0 (- t z))) x))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01242539
12972348
27912114
325181776
done50011764

prune369.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes222.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11212
done1212

end0.0ms

sample582.0ms

Algorithm
intervals
Results
310.0ms8502×body80valid
5.0ms1×body640valid
0.0ms2×body1280valid