Details

Time bar (total: 14.3s)

sample28.0ms

Algorithm
intervals
Results
15.0ms426×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 8 (2.7s)

IterNodesCost
01115
12314
25814
310614
419114
534114
670414
7161813
8490112
done500012

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
4×add-exp-log add-cbrt-cube distribute-lft-out associate-/l*
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 45
Calls
2 calls:
8.0ms
(/ (+ x z) y)
0.0ms
(fma (/ (+ x z) y) (- x z) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (+ x z) y)
60.0ms
(fma (/ (+ x z) y) (- x z) y)

simplify1.9s

Counts
51 → 51
Iterations

Useful iterations: 4 (870.0ms)

IterNodesCost
082534
1165520
2400480
31026480
42949477
done5001477

prune136.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ x z))
0.1b
(fma (/ 1 (/ y (+ x z))) (- x z) y)
0.8b
(/ 1 (/ y (+ x z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
95×*-un-lft-identity
63×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-+ flip-+
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip fma-udef inv-pow
Counts
3 → 143
Calls
3 calls:
5.0ms
(/ y (+ x z))
0.0ms
(fma (/ 1 (/ y (+ x z))) (- x z) y)
10.0ms
(/ 1 (/ y (+ x z)))

series107.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ y (+ x z))
56.0ms
(fma (/ 1 (/ y (+ x z))) (- x z) y)
25.0ms
(/ 1 (/ y (+ x z)))

simplify1.9s

Counts
152 → 152
Iterations

Useful iterations: 3 (799.0ms)

IterNodesCost
01982026
14271728
29121497
325761456
done50001456

prune309.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x z))
0.1b
(fma (/ 1 (* y (/ 1 (+ x z)))) (- x z) y)
0.2b
(* y (/ 1 (+ x z)))
0.8b
(/ 1 (* y (/ 1 (+ x z))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
39×*-un-lft-identity
31×add-sqr-sqrt
29×times-frac
24×add-cube-cbrt
20×div-exp add-cbrt-cube
18×associate-*r*
16×prod-exp
10×pow1 rec-exp 1-exp
7×distribute-lft-out
6×cbrt-undiv associate-/r/ associate-/l*
5×associate-/r*
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×pow-flip associate-*l* div-inv unswap-sqr
2×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num un-div-inv flip-+ inv-pow
1×*-commutative fma-udef
Counts
4 → 134
Calls
4 calls:
6.0ms
(/ 1 (+ x z))
0.0ms
(fma (/ 1 (* y (/ 1 (+ x z)))) (- x z) y)
16.0ms
(* y (/ 1 (+ x z)))
13.0ms
(/ 1 (* y (/ 1 (+ x z))))

series150.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ 1 (+ x z))
51.0ms
(fma (/ 1 (* y (/ 1 (+ x z)))) (- x z) y)
26.0ms
(* y (/ 1 (+ x z)))
31.0ms
(/ 1 (* y (/ 1 (+ x z))))

simplify2.7s

Counts
146 → 146
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01621514
13791162
2826956
32248947
done5000941

prune287.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (* (/ 1 y) (+ x z)) (- x z) y)
0.3b
(* (/ 1 y) (+ x z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 associate-*r* prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times flip3-+ associate-*r/ div-exp cbrt-unprod flip-+ log1p-expm1-u add-log-exp
1×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv distribute-lft-out
Counts
2 → 54
Calls
2 calls:
0.0ms
(fma (* (/ 1 y) (+ x z)) (- x z) y)
16.0ms
(* (/ 1 y) (+ x z))

series80.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(fma (* (/ 1 y) (+ x z)) (- x z) y)
29.0ms
(* (/ 1 y) (+ x z))

simplify2.0s

Counts
60 → 60
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
0115687
1348570
2971479
32669479
done5001479

prune146.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes110.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11012
done1012

end0.0ms

sample756.0ms

Algorithm
intervals
Results
475.0ms13657×body80valid