Details

Time bar (total: 3.7s)

sample282.0ms

Algorithm
intervals
Results
13.0ms426×body80valid
9.0ms426×pre80true

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1406
21126
33936
413446
540726
650016

prune3.0ms

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: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1.0 m))
0.0b
(/ (* m (- 1.0 m)) v)
0.1b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
36×prod-diff
33×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in
12×add-exp-log add-cbrt-cube
10×associate-*r*
8×flip3-- associate-*l* flip--
7×pow1
6×associate-*r/
4×frac-times sub-neg
3×expm1-log1p-u times-frac prod-exp associate-/r* cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
3 → 125
Calls
3 calls:
24.0ms
(* m (- 1.0 m))
8.0ms
(/ (* m (- 1.0 m)) v)
18.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series131.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* m (- 1.0 m))
43.0ms
(/ (* m (- 1.0 m)) v)
44.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify77.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05001273
12527968
25001962

prune190.0ms

Filtered
134 candidates to 71 candidates (53.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1277134
Fresh000
Picked101
Done000
Total1287135

Merged error: 0b

Counts
135 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1.0 m) (* (- m) m))
0.0b
(/ (+ (* 1.0 m) (* (- m) m)) v)
0.1b
(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
30×*-un-lft-identity
26×add-cube-cbrt
18×prod-diff
13×times-frac
11×distribute-rgt-in distribute-lft-in
7×add-exp-log add-cbrt-cube
6×flip3-- associate-*l* flip--
5×pow1 distribute-rgt-out associate-*r* add-log-exp
4×distribute-lft-neg-out frac-times associate-/l*
3×expm1-log1p-u associate-/r* log1p-expm1-u difference-of-squares
2×sub-neg flip3-+ div-sub associate-*r/ unsub-neg associate-*l/ flip-+ associate-/l/ distribute-lft-out--
1×cbrt-undiv +-commutative fma-def frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 109
Calls
3 calls:
4.0ms
(+ (* 1.0 m) (* (- m) m))
6.0ms
(/ (+ (* 1.0 m) (* (- m) m)) v)
17.0ms
(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

series140.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ (* 1.0 m) (* (- m) m))
48.0ms
(/ (+ (* 1.0 m) (* (- m) m)) v)
35.0ms
(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

simplify85.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05101396
124961173
250011145

prune181.0ms

Filtered
118 candidates to 77 candidates (65.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1180118
Fresh066
Picked011
Done000
Total1187125

Merged error: 0b

Counts
125 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (- 1.0 m))
0.1b
(/ m (/ v (- 1.0 m)))
0.1b
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
130×add-sqr-sqrt
121×*-un-lft-identity
85×add-cube-cbrt
26×associate-/r*
20×difference-of-squares
18×prod-diff distribute-lft-out--
12×add-exp-log add-cbrt-cube
11×distribute-rgt-in flip3-- distribute-lft-in associate-/r/ flip--
7×associate-*l*
6×div-inv associate-/l*
5×pow1 associate-*r*
4×cbrt-undiv frac-times div-exp
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×sub-neg frac-2neg associate-*r/ associate-*l/ clear-num
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 199
Calls
3 calls:
8.0ms
(/ v (- 1.0 m))
9.0ms
(/ m (/ v (- 1.0 m)))
32.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series107.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ v (- 1.0 m))
40.0ms
(/ m (/ v (- 1.0 m)))
34.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify116.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
07741889
140241694
250011693

prune327.0ms

Filtered
208 candidates to 146 candidates (70.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2080208
Fresh055
Picked011
Done011
Total2087215

Merged error: 0b

Counts
215 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
0.1b
(cbrt (- 1.0 m))
0.1b
(cbrt (- 1.0 m))
0.1b
(cbrt (- 1.0 m))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
11.0ms
(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
3.0ms
(cbrt (- 1.0 m))
3.0ms
(cbrt (- 1.0 m))
3.0ms
(cbrt (- 1.0 m))

series376.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
90.0ms
(cbrt (- 1.0 m))
90.0ms
(cbrt (- 1.0 m))
90.0ms
(cbrt (- 1.0 m))

simplify153.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0328874
11070836
24697779
35001776

prune270.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh044
Picked011
Done022
Total1217128

Merged error: 0b

Counts
128 → 7

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

sample892.0ms

Algorithm
intervals
Results
395.0ms13757×body80valid
262.0ms13757×pre80true

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