Details

Time bar (total: 25.6s)

sample50.0ms

Algorithm
intervals
Results
17.0ms330×body80valid

simplify5.3s

Counts
1 → 1
Iterations

Useful iterations: done (5.3s)

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

localize12.0ms

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)

rewrite133.0ms

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))
25.0ms
(- (/ x y) 2.0)
94.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
5.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series262.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(fma 2.0 1.0 (/ 2.0 z))
25.0ms
(- (/ x y) 2.0)
111.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
85.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify3.4s

Counts
193 → 193
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
02483390
15282790
212432518
343692165
done50002165

prune687.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite144.0ms

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:
1.0ms
(fma 2.0 1.0 (/ 2.0 z))
45.0ms
(- (/ x y) 2.0)
55.0ms
(+ (* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t)) (- (/ x y) 2.0))
28.0ms
(* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t))

series267.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(fma 2.0 1.0 (/ 2.0 z))
21.0ms
(- (/ x y) 2.0)
109.0ms
(+ (* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t)) (- (/ x y) 2.0))
61.0ms
(* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t))

simplify1.6s

Counts
190 → 190
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02763706
16642886
216302578
done50012387

prune730.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

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)

rewrite18.0ms

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:
12.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.3s

Counts
4 → 12
Calls
4 calls:
371.0ms
(* (cbrt t) (cbrt t))
341.0ms
(cbrt t)
308.0ms
(cbrt t)
302.0ms
(cbrt t)

simplify5.1s

Counts
93 → 93
Iterations

Useful iterations: done (5.1s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune435.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite67.0ms

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:
60.0ms
(* (* (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)))

series541.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (* (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))
160.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
162.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
160.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))

simplify3.1s

Counts
98 → 98
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01452225
13912124
213761632
346651471
done50001471

prune330.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes258.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11314
done1314

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s10536×body80valid