Details

Time bar (total: 5.0s)

sample23.0ms

Algorithm
intervals
Results
9.0ms289×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

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

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: 1.3b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.3b
(fma y (/ (- z t) (- z a)) x)

rewrite13.0ms

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)

series129.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- z t) (- z a))
82.0ms
(fma y (/ (- z t) (- z a)) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune203.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New62870
Fresh000
Picked101
Done000
Total63871

Merged error: 0.5b

Counts
71 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- z a))
0.0b
(- (/ z (- z a)) (/ t (- z a)))
0.0b
(/ z (- z a))
1.3b
(fma y (- (/ z (- z a)) (/ t (- z a))) x)

rewrite114.0ms

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))
45.0ms
(- (/ z (- z a)) (/ t (- z a)))
6.0ms
(/ z (- z a))
1.0ms
(fma y (- (/ z (- z a)) (/ t (- z a))) x)

series305.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ t (- z a))
117.0ms
(- (/ z (- z a)) (/ t (- z a)))
49.0ms
(/ z (- z a))
108.0ms
(fma y (- (/ z (- z a)) (/ t (- z a))) x)

simplify214.0ms

Algorithm
egg-herbie
Counts
593 → 593
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
0123715688
1331611704
2500111614

prune1.3s

Filtered
593 candidates to 267 candidates (45.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5912593
Fresh257
Picked101
Done000
Total5947601

Merged error: 0.5b

Counts
601 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- z a))
0.0b
(- (* z (/ 1 (- z a))) (/ t (- z a)))
0.2b
(* z (/ 1 (- z a)))
1.3b
(fma y (- (* z (/ 1 (- z a))) (/ t (- z a))) x)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
54×*-un-lft-identity
47×times-frac
33×add-cube-cbrt
21×associate-*r* prod-diff
15×add-exp-log
11×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
6×pow1 associate-/r/ add-log-exp
5×associate-/r*
4×expm1-log1p-u flip3-- prod-exp flip-- log1p-expm1-u div-inv
3×associate-*r/ div-exp associate-*l* un-div-inv associate-/l* unswap-sqr
2×cbrt-undiv frac-sub cbrt-unprod sub-div
1×sub-neg rec-exp distribute-rgt-out-- frac-2neg fma-neg diff-log 1-exp pow-prod-down clear-num *-commutative fma-udef
Counts
4 → 136
Calls
4 calls:
7.0ms
(/ t (- z a))
16.0ms
(- (* z (/ 1 (- z a))) (/ t (- z a)))
12.0ms
(* z (/ 1 (- z a)))
1.0ms
(fma y (- (* z (/ 1 (- z a))) (/ t (- z a))) x)

series320.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ t (- z a))
123.0ms
(- (* z (/ 1 (- z a))) (/ t (- z a)))
48.0ms
(* z (/ 1 (- z a)))
110.0ms
(fma y (- (* z (/ 1 (- z a))) (/ t (- z a))) x)

simplify88.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
06901268
127111010
25001925

prune426.0ms

Filtered
148 candidates to 97 candidates (65.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1462148
Fresh246
Picked011
Done000
Total1487155

Merged error: 0.5b

Counts
155 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.4b
(/ 1 (/ (- z a) (- z t)))
1.3b
(fma y (/ 1 (/ (- z a) (- z t))) x)

rewrite37.0ms

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:
10.0ms
(/ (- z a) (- z t))
14.0ms
(/ 1 (/ (- z a) (- z t)))
1.0ms
(fma y (/ 1 (/ (- z a) (- z t))) x)

series253.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ (- z a) (- z t))
105.0ms
(/ 1 (/ (- z a) (- z t)))
93.0ms
(fma y (/ 1 (/ (- z a) (- z t))) x)

simplify86.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06241890
127731707
250031538

prune434.0ms

Filtered
223 candidates to 105 candidates (47.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2212223
Fresh235
Picked101
Done011
Total2246230

Merged error: 0.5b

Counts
230 → 6

regimes199.0ms

Accuracy

0% (0.5b remaining)

Error of 1.2b against oracle of 0.7b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

end0.0ms

sample560.0ms

Algorithm
intervals
Results
288.0ms8784×body80valid