Details

Time bar (total: 3.2s)

sample37.0ms

Algorithm
intervals
Results
15.0ms334×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

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: 5.4b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.5b
(/ (* y (- z t)) a)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
7.0ms
(- x (/ (* y (- z t)) a))
11.0ms
(* y (- z t))
11.0ms
(/ (* y (- z t)) a)

series143.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- x (/ (* y (- z t)) a))
34.0ms
(* y (- z t))
60.0ms
(/ (* y (- z t)) a)

simplify35.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0291345
11204306
25001306

prune119.0ms

Filtered
72 candidates to 47 candidates (65.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New67572
Fresh000
Picked011
Done000
Total67673

Merged error: 0b

Counts
73 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
21.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series633.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt a)
178.0ms
(cbrt a)
179.0ms
(cbrt a)
92.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0480918
12615741
25001706

prune284.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh044
Picked011
Done011
Total1166122

Merged error: 0b

Counts
122 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ a (* y (- z t)))))
0.0b
(* y (- z t))
0.6b
(/ 1 (/ a (* y (- z t))))
6.5b
(/ a (* y (- z t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
37×add-sqr-sqrt
32×add-exp-log *-un-lft-identity
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv flip3-- flip-- div-inv
6×associate-/l* add-log-exp
5×associate-*r* prod-exp
4×difference-of-squares
3×sub-neg rec-exp 1-exp associate-*l* cbrt-unprod distribute-lft-out--
2×distribute-rgt-in frac-2neg distribute-lft-in clear-num
1×pow-flip diff-log pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 130
Calls
4 calls:
12.0ms
(- x (/ 1 (/ a (* y (- z t)))))
7.0ms
(* y (- z t))
9.0ms
(/ 1 (/ a (* y (- z t))))
10.0ms
(/ a (* y (- z t)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- x (/ 1 (/ a (* y (- z t)))))
35.0ms
(* y (- z t))
58.0ms
(/ 1 (/ a (* y (- z t))))
39.0ms
(/ a (* y (- z t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0458870
12084724
25001708

prune206.0ms

Filtered
142 candidates to 77 candidates (54.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1411142
Fresh123
Picked011
Done112
Total1435148

Merged error: 0b

Counts
148 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- (/ y a)) (- z t)))
7.9b
(* (- (/ y a)) (- z t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
30×associate-*l*
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt times-frac
13×distribute-lft-neg-in distribute-rgt-neg-in
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×distribute-lft-neg-out distribute-neg-frac
2×frac-times flip3-- associate-*r/ flip-- div-inv
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down associate-*l/ prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 74
Calls
2 calls:
3.0ms
(+ x (* (- (/ y a)) (- z t)))
16.0ms
(* (- (/ y a)) (- z t))

series120.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ x (* (- (/ y a)) (- z t)))
66.0ms
(* (- (/ y a)) (- z t))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0370445
11450419
25001407

prune152.0ms

Filtered
80 candidates to 62 candidates (77.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh022
Picked011
Done022
Total80585

Merged error: 0b

Counts
85 → 5

regimes307.0ms

Accuracy

74.6% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02917
13317
23417
33417

end0.0ms

sample618.0ms

Algorithm
intervals
Results
306.0ms10705×body80valid