Details

Time bar (total: 11.7s)

sample21.0ms

Algorithm
intervals
Results
11.0ms328×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
079
1119
2208
3318
4468
5658
6888
71258
81898
93558
108998
1129598
done50018

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- z x) y x)
10.0b
(/ (fma (- z x) y x) z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (- z x) y x)
2.0ms
(/ (fma (- z x) y x) z)

series80.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(fma (- z x) y x)
49.0ms
(/ (fma (- z x) y x) z)

simplify1.8s

Counts
45 → 45
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
066554
1117542
2281492
3968492
43729492
done5000492

prune127.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
6.7b
(/ (* x y) z)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
30×add-sqr-sqrt
28×add-cube-cbrt prod-diff
24×times-frac
13×fma-def
10×distribute-lft-out add-log-exp
8×add-exp-log add-cbrt-cube
6×div-inv
4×fma-neg
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod associate-/l* difference-of-squares
Counts
3 → 103
Calls
3 calls:
10.0ms
(+ (/ x z) y)
81.0ms
(- (+ (/ x z) y) (/ (* x y) z))
3.0ms
(/ (* x y) z)

series75.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (/ x z) y)
33.0ms
(- (+ (/ x z) y) (/ (* x y) z))
21.0ms
(/ (* x y) z)

simplify697.0ms

Counts
112 → 112
Iterations

Useful iterations: 2 (146.0ms)

IterNodesCost
01542085
13861744
213841457
done50011457

prune221.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(fma 1 (+ (/ x z) y) (/ (- x) (/ z y)))
5.4b
(/ (- x) (/ z y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
238×times-frac
131×*-un-lft-identity
129×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-neg-in distribute-rgt-neg-in
14×neg-mul-1
13×fma-def associate-/r* div-inv
10×associate-/l*
8×add-exp-log add-cbrt-cube
5×add-log-exp
3×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
1×+-commutative neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg clear-num sum-log associate-/r/ flip-+ fma-udef distribute-lft-out
Counts
3 → 209
Calls
3 calls:
14.0ms
(+ (/ x z) y)
0.0ms
(fma 1 (+ (/ x z) y) (/ (- x) (/ z y)))
8.0ms
(/ (- x) (/ z y))

series88.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (/ x z) y)
36.0ms
(fma 1 (+ (/ x z) y) (/ (- x) (/ z y)))
27.0ms
(/ (- x) (/ z y))

simplify1.0s

Counts
218 → 218
Iterations

Useful iterations: 2 (368.0ms)

IterNodesCost
03392920
18522683
226972585
done50002585

prune612.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(fma 1 (+ (/ x z) y) (/ (- 1) (/ (/ z y) x)))
0.5b
(/ (- 1) (/ (/ z y) x))
5.4b
(/ (/ z y) x)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
1240×times-frac
572×*-un-lft-identity
570×add-sqr-sqrt add-cube-cbrt
132×distribute-lft-neg-in distribute-rgt-neg-in
51×div-inv
46×associate-/r*
44×neg-mul-1
23×associate-/l*
18×add-exp-log add-cbrt-cube
13×fma-def
9×cbrt-undiv div-exp
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative neg-sub0 flip3-+ div-sub distribute-frac-neg sum-log associate-/r/ flip-+ fma-udef associate-/l/ distribute-lft-out
Counts
4 → 613
Calls
4 calls:
10.0ms
(+ (/ x z) y)
0.0ms
(fma 1 (+ (/ x z) y) (/ (- 1) (/ (/ z y) x)))
20.0ms
(/ (- 1) (/ (/ z y) x))
6.0ms
(/ (/ z y) x)

series113.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (/ x z) y)
38.0ms
(fma 1 (+ (/ x z) y) (/ (- 1) (/ (/ z y) x)))
35.0ms
(/ (- 1) (/ (/ z y) x))
20.0ms
(/ (/ z y) x)

simplify1.3s

Counts
625 → 625
Iterations

Useful iterations: done (1.3s)

IterNodesCost
091411920
124689878
done50009477

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

73.4% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.1b

bsearch66.0ms

Steps
ItersRangePoint
7
1.1113842165759087e-287
4.584512676026492e-286
3.640402671389334e-286
4
-1.488070700371348e-93
-8.046542096483128e-94
-1.2525042507888118e-93

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03262
13962
done3962

end0.0ms

sample460.0ms

Algorithm
intervals
Results
251.0ms10090×body80valid