Details

Time bar (total: 3.9s)

sample23.0ms

Algorithm
intervals
Results
12.0ms277×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1374
2604
31044
41744
52374
62664
73124
83754
95074
106664
1111174
1213414
1315134
1415354
1515354

prune5.0ms

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: 1.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.5b
(fma y (/ (- z t) (- z a)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
8.0ms
(/ (- z t) (- z a))
1.0ms
(fma y (/ (- z t) (- z a)) x)

series108.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- z t) (- z a))
67.0ms
(fma y (/ (- z t) (- z a)) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune163.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New62870
Fresh000
Picked011
Done000
Total62971

Merged error: 1.1b

Counts
71 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.5b
(/ 1 (/ (- z a) (- z t)))
1.5b
(fma y (/ 1 (/ (- z a) (- z t))) x)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
8.0ms
(/ (- z a) (- z t))
15.0ms
(/ 1 (/ (- z a) (- z t)))
1.0ms
(fma y (/ 1 (/ (- z a) (- z t))) x)

series207.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- z a) (- z t))
89.0ms
(/ 1 (/ (- z a) (- z t)))
78.0ms
(fma y (/ 1 (/ (- z a) (- z t))) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06241890
127731707
250031538

prune304.0ms

Filtered
223 candidates to 102 candidates (45.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2212223
Fresh257
Picked101
Done011
Total2248232

Merged error: 1.1b

Counts
232 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ y (/ (- z a) (- z t))) x)
0.0b
(/ (- z a) (- z t))
1.8b
(/ y (/ (- z a) (- z t)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
386×times-frac
322×*-un-lft-identity
320×add-sqr-sqrt
156×add-cube-cbrt
98×fma-def
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
18×associate-/r/
10×add-exp-log add-cbrt-cube div-inv
9×flip3-- flip--
8×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 310
Calls
3 calls:
41.0ms
(+ (/ y (/ (- z a) (- z t))) x)
8.0ms
(/ (- z a) (- z t))
12.0ms
(/ y (/ (- z a) (- z t)))

series243.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(+ (/ y (/ (- z a) (- z t))) x)
44.0ms
(/ (- z a) (- z t))
110.0ms
(/ y (/ (- z a) (- z t)))

simplify79.0ms

Algorithm
egg-herbie
Counts
319 → 319
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
07161918
131041859
250011857

prune684.0ms

Filtered
319 candidates to 221 candidates (69.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3172319
Fresh426
Picked011
Done011
Total3216327

Merged error: 0b

Counts
327 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
3.0ms
(cbrt (- z t))
7.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z a))

series592.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- z t))
147.0ms
(cbrt (- z a))
149.0ms
(cbrt (- z a))
146.0ms
(cbrt (- z a))

simplify54.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0255452
1569432
21542420
35001392

prune287.0ms

Filtered
80 candidates to 72 candidates (90.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh033
Picked011
Done022
Total80686

Merged error: 0b

Counts
86 → 6

regimes182.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
11819

end0.0ms

sample570.0ms

Algorithm
intervals
Results
312.0ms8707×body80valid
1.0ms3×body2560valid

Profiling

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