Details

Time bar (total: 23.5s)

sample69.0ms

Algorithm
intervals
Results
34.0ms330×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: done (4.4s)

IterNodesCost
01417
12517
24916
310516
419516
529715
647115
790915
8297515
done500014

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
99×add-sqr-sqrt
94×add-cube-cbrt
82×times-frac
78×prod-diff
41×associate-+r+
13×fma-def fma-neg
11×add-log-exp
9×div-inv
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u
3×associate-/r* associate-/l*
2×sub-neg flip3-- diff-log frac-add sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
1×cbrt-undiv +-commutative associate-+r- frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef
Counts
4 → 181
Calls
4 calls:
0.0ms
(fma 2.0 1.0 (/ 2.0 z))
35.0ms
(- (/ x y) 2.0)
61.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
5.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series215.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(fma 2.0 1.0 (/ 2.0 z))
33.0ms
(- (/ x y) 2.0)
65.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
73.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify2.5s

Counts
193 → 193
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
02483390
15282790
212432518
343692165
done50002165

prune616.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
90×*-un-lft-identity
87×add-cube-cbrt
78×prod-diff
75×times-frac
41×associate-+r+
13×add-exp-log fma-neg associate-*r*
11×add-log-exp
9×add-cbrt-cube
8×div-inv
6×pow1
4×expm1-log1p-u frac-add prod-exp log1p-expm1-u
3×flip3-- associate-*r/ associate-*l* un-div-inv flip-- unswap-sqr
2×sub-neg diff-log div-exp sum-log cbrt-unprod difference-of-squares
1×cbrt-undiv +-commutative associate-+r- rec-exp fma-def flip3-+ 1-exp pow-prod-down *-commutative flip-+ fma-udef distribute-lft-out--
Counts
4 → 178
Calls
4 calls:
0.0ms
(fma 2.0 1.0 (/ 2.0 z))
25.0ms
(- (/ x y) 2.0)
70.0ms
(+ (* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t)) (- (/ x y) 2.0))
24.0ms
(* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t))

series237.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(fma 2.0 1.0 (/ 2.0 z))
28.0ms
(- (/ x y) 2.0)
94.0ms
(+ (* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t)) (- (/ x y) 2.0))
54.0ms
(* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t))

simplify1.3s

Counts
190 → 190
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02763706
16642886
216302578
done50012387

prune623.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

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)

rewrite30.0ms

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:
21.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
2.0ms
(cbrt t)
2.0ms
(cbrt t)

series1.0s

Counts
4 → 12
Calls
4 calls:
278.0ms
(* (cbrt t) (cbrt t))
253.0ms
(cbrt t)
240.0ms
(cbrt t)
238.0ms
(cbrt t)

simplify5.1s

Counts
93 → 93
Iterations

Useful iterations: done (5.1s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune501.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (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)))

rewrite93.0ms

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:
74.0ms
(* (* (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))
10.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
2.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
2.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))

series519.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* (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))
174.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
153.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
145.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))

simplify3.7s

Counts
98 → 98
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01452225
13912124
213761632
346651471
done50001471

prune482.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes299.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11314
done1314

end0.0ms

sample1.5s

Algorithm
intervals
Results
974.0ms10536×body80valid