Details

Time bar (total: 4.6s)

sample23.0ms

Algorithm
intervals
Results
9.0ms289×body80valid

simplify70.0ms

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

prune6.0ms

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: 0.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.6b
(fma y (/ (- z t) (- z a)) x)

rewrite12.0ms

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:
9.0ms
(/ (- z t) (- z a))
1.0ms
(fma y (/ (- z t) (- z a)) x)

series122.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- z t) (- z a))
76.0ms
(fma y (/ (- z t) (- z a)) x)

simplify66.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune209.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New61970
Fresh000
Picked101
Done000
Total62971

Merged error: 0.3b

Counts
71 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- z a))
0.0b
(/ z (- z a))
0.0b
(- (/ z (- z a)) (/ t (- z a)))
0.6b
(fma y (- (/ z (- z a)) (/ t (- z a))) x)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
6.0ms
(/ t (- z a))
6.0ms
(/ z (- z a))
41.0ms
(- (/ z (- z a)) (/ t (- z a)))
1.0ms
(fma y (- (/ z (- z a)) (/ t (- z a))) x)

series289.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ t (- z a))
43.0ms
(/ z (- z a))
111.0ms
(- (/ z (- z a)) (/ t (- z a)))
103.0ms
(fma y (- (/ z (- z a)) (/ t (- z a))) x)

simplify188.0ms

Algorithm
egg-herbie
Counts
593 → 593
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0123715688
1331611704
2500111614

prune1.2s

Filtered
593 candidates to 267 candidates (45.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New5930593
Fresh088
Picked011
Done000
Total5939602

Merged error: 0.3b

Counts
602 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
0.6b
(fma y (* (- z t) (/ 1 (- z a))) x)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
6.0ms
(/ 1 (- z a))
15.0ms
(* (- z t) (/ 1 (- z a)))
1.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

series167.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (- z a))
52.0ms
(* (- z t) (/ 1 (- z a)))
77.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

simplify47.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0337585
11465510
25001468

prune259.0ms

Filtered
114 candidates to 71 candidates (62.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh077
Picked011
Done011
Total1149123

Merged error: 0.3b

Counts
123 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(fma y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z t)) (cbrt (- z a)))) x)
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
1.0ms
(fma y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z t)) (cbrt (- z a)))) x)
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z a))

series573.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(fma y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z t)) (cbrt (- z a)))) x)
165.0ms
(cbrt (- z a))
154.0ms
(cbrt (- z a))
169.0ms
(cbrt (- z a))

simplify55.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0199593
1473541
21477523
35002488

prune315.0ms

Filtered
73 candidates to 65 candidates (89.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New72173
Fresh246
Picked011
Done022
Total74882

Merged error: 0.0b

Counts
82 → 8

regimes262.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106

end0.0ms

sample546.0ms

Algorithm
intervals
Results
282.0ms8712×body80valid
0.0ms1×body1280valid