Details

Time bar (total: 24.7s)

sample59.0ms

Algorithm
intervals
Results
27.0ms320×body80valid

simplify5.2s

Counts
1 → 1
Iterations

Useful iterations: done (5.2s)

IterNodesCost
01417
12517
24916
310516
419516
529715
647115
790915
8297515
done500014

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
0.0b
(fma 2.0 1.0 (/ 2.0 z))
0.1b
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
52×add-sqr-sqrt add-cube-cbrt
45×times-frac
41×associate-+r+
39×prod-diff
13×fma-def
8×add-log-exp
5×add-exp-log add-cbrt-cube div-inv
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×frac-add sum-log distribute-lft-out
1×cbrt-undiv +-commutative associate-+r- sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num flip-- flip-+ fma-udef distribute-lft-out--
Counts
3 → 112
Calls
3 calls:
118.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
1.0ms
(fma 2.0 1.0 (/ 2.0 z))
10.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series218.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
63.0ms
(fma 2.0 1.0 (/ 2.0 z))
71.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify3.0s

Counts
121 → 121
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02312073
15071856
212071731
343141605
done50001604

prune457.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 2.0 1.0 (/ 2.0 z))
0.1b
(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma 2.0 1.0 (/ 2.0 z))
1.0ms
(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

series138.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(fma 2.0 1.0 (/ 2.0 z))
87.0ms
(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

simplify2.4s

Counts
26 → 26
Iterations

Useful iterations: done (2.4s)

IterNodesCost
043349
174345
2161281
3545281
42727280
done5001279

prune158.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite16.0ms

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:
11.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.0s

Counts
4 → 12
Calls
4 calls:
269.0ms
(* (cbrt t) (cbrt t))
292.0ms
(cbrt t)
219.0ms
(cbrt t)
247.0ms
(cbrt t)

simplify5.0s

Counts
93 → 93
Iterations

Useful iterations: done (5.0s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune485.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (cbrt (fma 2.0 1.0 (/ 2.0 z))) (cbrt (fma 2.0 1.0 (/ 2.0 z)))) (/ (cbrt (fma 2.0 1.0 (/ 2.0 z))) t))
0.8b
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
0.8b
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
0.8b
(cbrt (fma 2.0 1.0 (/ 2.0 z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
16×add-exp-log
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
58.0ms
(* (* (cbrt (fma 2.0 1.0 (/ 2.0 z))) (cbrt (fma 2.0 1.0 (/ 2.0 z)))) (/ (cbrt (fma 2.0 1.0 (/ 2.0 z))) t))
1.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
1.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
1.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))

series457.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (* (cbrt (fma 2.0 1.0 (/ 2.0 z))) (cbrt (fma 2.0 1.0 (/ 2.0 z)))) (/ (cbrt (fma 2.0 1.0 (/ 2.0 z))) t))
116.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
147.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
126.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))

simplify3.8s

Counts
98 → 98
Iterations

Useful iterations: 3 (2.4s)

IterNodesCost
01452225
13912124
213761632
346651471
done50001471

prune434.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes237.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01315
11515
done1515

end0.0ms

sample1.2s

Algorithm
intervals
Results
608.0ms10442×body80valid