Details

Time bar (total: 4.9s)

sample39.0ms

Algorithm
intervals
Results
17.0ms367×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1414
2584
3774
41114
51714
62934
75214
87074
97874
109644
119884
129884

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: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
100×*-un-lft-identity
75×add-sqr-sqrt
72×times-frac
35×add-cube-cbrt
26×distribute-lft-out--
21×associate-*r* associate-*l*
13×distribute-lft-out difference-of-squares
12×associate-/r*
7×*-commutative unswap-sqr
6×add-exp-log add-cbrt-cube associate-/l*
2×cbrt-undiv div-exp associate-/l/
1×pow1 expm1-log1p-u flip3-- frac-2neg div-sub prod-exp clear-num flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 109
Calls
1 calls:
14.0ms
(/ (- (+ x y) z) (* t 2.0))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0460918
11778889
25001889

prune196.0ms

Filtered
112 candidates to 68 candidates (60.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1084112
Fresh000
Picked101
Done000
Total1094113

Merged error: 0b

Counts
113 → 4

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ y t) (/ x t)) (/ z t))
0.0b
(+ (/ y t) (/ x t))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
810×frac-add
789×associate-/r* associate-/l*
772×*-un-lft-identity
747×frac-sub
643×add-sqr-sqrt
638×add-cube-cbrt
263×frac-2neg clear-num
181×times-frac
104×prod-diff
64×distribute-lft-out
39×div-inv
15×distribute-rgt-out
13×fma-def
10×flip3-+ flip-+
9×add-log-exp
8×fma-neg
5×distribute-lft-out--
2×pow1 add-exp-log +-commutative expm1-log1p-u diff-log associate--l+ sum-log add-cbrt-cube log1p-expm1-u difference-of-squares
1×sub-neg flip3-- flip--
Counts
2 → 995
Calls
2 calls:
69.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
30.0ms
(+ (/ y t) (/ x t))

series35.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
16.0ms
(+ (/ y t) (/ x t))

simplify188.0ms

Algorithm
egg-herbie
Counts
1001 → 1001
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0500118567

prune2.2s

Filtered
1001 candidates to 519 candidates (51.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New99831001
Fresh303
Picked101
Done000
Total100231005

Merged error: 0b

Counts
1005 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
39×*-un-lft-identity prod-diff
37×add-cube-cbrt
28×times-frac
4×add-log-exp
3×fma-neg div-inv
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u difference-of-squares
1×sub-neg flip3-- diff-log associate--l+ flip-- distribute-lft-out--
Counts
2 → 70
Calls
2 calls:
11.0ms
(- (fma y (/ 1 t) (/ x t)) (/ z t))
1.0ms
(fma y (/ 1 t) (/ x t))

series53.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- (fma y (/ 1 t) (/ x t)) (/ z t))
23.0ms
(fma y (/ 1 t) (/ x t))

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03841344
11187961
25001879

prune120.0ms

Filtered
76 candidates to 34 candidates (44.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done000
Total76379

Merged error: 0b

Counts
79 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

8.8b
(cbrt (/ z t))
8.8b
(cbrt (/ z t))
8.8b
(cbrt (/ z t))
52.0b
(fma (- (cbrt (/ z t))) (* (cbrt (/ z t)) (cbrt (/ z t))) (* (cbrt (/ z t)) (* (cbrt (/ z t)) (cbrt (/ z t)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
31×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-div times-frac
9×associate-/r* associate-/l*
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×frac-2neg pow1/3 clear-num div-inv
1×fma-udef
Counts
4 → 106
Calls
4 calls:
3.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))
1.0ms
(fma (- (cbrt (/ z t))) (* (cbrt (/ z t)) (cbrt (/ z t))) (* (cbrt (/ z t)) (* (cbrt (/ z t)) (cbrt (/ z t)))))

series358.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(cbrt (/ z t))
59.0ms
(cbrt (/ z t))
64.0ms
(cbrt (/ z t))
171.0ms
(fma (- (cbrt (/ z t))) (* (cbrt (/ z t)) (cbrt (/ z t))) (* (cbrt (/ z t)) (* (cbrt (/ z t)) (cbrt (/ z t)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0213807
1492743
21510726
35001651

prune509.0ms

Filtered
118 candidates to 99 candidates (83.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh011
Picked011
Done011
Total1183121

Merged error: 0b

Counts
121 → 3

regimes80.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample551.0ms

Algorithm
intervals
Results
284.0ms10915×body80valid