Details

Time bar (total: 3.4s)

sample45.0ms

Algorithm
intervals
Results
24.0ms411×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (41.0ms)

IterNodesCost
03810
11189
24289
317639
450028

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- t 1.0) a)
0.0b
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0b
(fma b (- (+ y t) 2.0) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×*-un-lft-identity
7×add-cube-cbrt
5×pow1 add-exp-log associate-*l* add-cbrt-cube add-log-exp
3×expm1-log1p-u fma-neg associate-*r* prod-diff log1p-expm1-u
2×flip3-- associate-*l/ flip-- fma-udef
1×sub-neg diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 55
Calls
3 calls:
6.0ms
(* (- t 1.0) a)
3.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
1.0ms
(fma b (- (+ y t) 2.0) x)

series151.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- t 1.0) a)
75.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
47.0ms
(fma b (- (+ y t) 2.0) x)

simplify92.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0234364
1798324
24190312
35001310

prune201.0ms

Filtered
64 candidates to 52 candidates (81.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New62264
Fresh000
Picked011
Done000
Total62365

Merged error: 0.0b

Counts
65 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b (- (+ y t) 2.0) x)
0.0b
(sqrt (* (- t 1.0) a))
0.0b
(sqrt (* (- t 1.0) a))
0.3b
(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*l/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
8×add-cube-cbrt flip3-- *-un-lft-identity flip--
6×add-exp-log sqrt-prod pow-sqr add-cbrt-cube
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×associate-*r/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 99
Calls
4 calls:
1.0ms
(fma b (- (+ y t) 2.0) x)
5.0ms
(sqrt (* (- t 1.0) a))
5.0ms
(sqrt (* (- t 1.0) a))
14.0ms
(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(fma b (- (+ y t) 2.0) x)
84.0ms
(sqrt (* (- t 1.0) a))
84.0ms
(sqrt (* (- t 1.0) a))
30.0ms
(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

simplify40.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0249559
1939478
25001455

prune291.0ms

Filtered
111 candidates to 68 candidates (61.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh011
Picked101
Done011
Total1113114

Merged error: 0.0b

Counts
114 → 3

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma t (- b a) (* y b))
0.0b
(fma (- 1.0 y) z (fma t (- b a) (* y b)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma t (- b a) (* y b))
1.0ms
(fma (- 1.0 y) z (fma t (- b a) (* y b)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(fma t (- b a) (* y b))
86.0ms
(fma (- 1.0 y) z (fma t (- b a) (* y b)))

simplify119.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
069149
1151122
2648121
34459121
45001121

prune75.0ms

Filtered
26 candidates to 23 candidates (88.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh011
Picked011
Done011
Total26329

Merged error: 0.0b

Counts
29 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- t 1.0) a)
0.0b
(sqrt (* (- t 1.0) a))
0.0b
(sqrt (* (- t 1.0) a))
0.3b
(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-- associate-*l* flip--
8×add-exp-log add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 113
Calls
4 calls:
7.0ms
(* (- t 1.0) a)
5.0ms
(sqrt (* (- t 1.0) a))
5.0ms
(sqrt (* (- t 1.0) a))
19.0ms
(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (- t 1.0) a)
83.0ms
(sqrt (* (- t 1.0) a))
83.0ms
(sqrt (* (- t 1.0) a))
30.0ms
(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

simplify53.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0254539
11055484
25001461

prune336.0ms

Filtered
125 candidates to 75 candidates (60.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done022
Total1253128

Merged error: 0.0b

Counts
128 → 3

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample1.1s

Algorithm
intervals
Results
677.0ms12467×body80valid
0.0ms3×body320valid
0.0ms1×body160valid

Profiling

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