Details

Time bar (total: 1.9s)

sample34.0ms

Algorithm
intervals
Results
15.0ms346×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1464
21214
32584
44344
56874
619574
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
9.0ms
(* x (+ (- y z) 1.0))
10.0ms
(/ (* x (+ (- y z) 1.0)) z)

series76.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* x (+ (- y z) 1.0))
44.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0262303
11268253
25002253

prune123.0ms

Filtered
57 candidates to 39 candidates (68.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New49857
Fresh000
Picked101
Done000
Total50858

Merged error: 0b

Counts
58 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
0.0b
(fma 1.0 (/ x z) (/ (* x y) z))
6.2b
(/ (* x y) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt
9×prod-diff
8×add-exp-log add-cbrt-cube
5×add-log-exp
3×pow1 expm1-log1p-u times-frac fma-neg associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp fma-udef
1×sub-neg flip3-- frac-2neg diff-log prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 62
Calls
3 calls:
4.0ms
(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
1.0ms
(fma 1.0 (/ x z) (/ (* x y) z))
5.0ms
(/ (* x y) z)

series123.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
58.0ms
(fma 1.0 (/ x z) (/ (* x y) z))
21.0ms
(/ (* x y) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0235493
11042390
25002384

prune145.0ms

Filtered
71 candidates to 48 candidates (67.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New70171
Fresh437
Picked011
Done000
Total74579

Merged error: 0b

Counts
79 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ 1.0 y)) x)
2.8b
(* (/ x z) (+ 1.0 y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
3×prod-diff
2×distribute-rgt-in expm1-log1p-u frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- fma-neg diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 61
Calls
2 calls:
9.0ms
(- (* (/ x z) (+ 1.0 y)) x)
9.0ms
(* (/ x z) (+ 1.0 y))

series86.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* (/ x z) (+ 1.0 y)) x)
42.0ms
(* (/ x z) (+ 1.0 y))

simplify55.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0413354
11715314
25003314

prune125.0ms

Filtered
67 candidates to 48 candidates (71.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh033
Picked011
Done011
Total67572

Merged error: 0b

Counts
72 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
4.8b
(* x (/ (+ (- y z) 1.0) z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 80
Calls
2 calls:
9.0ms
(/ (+ (- y z) 1.0) z)
16.0ms
(* x (/ (+ (- y z) 1.0) z))

series70.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (+ (- y z) 1.0) z)
42.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify47.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0274497
11191450
25001447

prune131.0ms

Filtered
86 candidates to 53 candidates (61.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh022
Picked011
Done022
Total86591

Merged error: 0b

Counts
91 → 5

regimes89.0ms

Accuracy

82.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.8b

bsearch67.0ms

Steps
ItersRangePoint
9
1.5191716370154531e-207
3.3601840353611312e-199
2.019541969566418e-199
6
-2576.837359782024
-167.5179046238358
-609.7466263739365

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample468.0ms

Algorithm
intervals
Results
258.0ms10059×body80valid