Details

Time bar (total: 4.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms269×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0175
1325
2604
31124
41724
52314
62794
73524
84854
96484
1010744
1113584
1213994
1313994

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

3.7b
(fma (/ y (- a t)) (- z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y (- a t)) (- z t) x)

series198.0ms

Counts
1 → 3
Calls
1 calls:
198.0ms
(fma (/ y (- a t)) (- z t) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
03671
17562
224060
3101860
4500160

prune41.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New11213
Fresh011
Picked101
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y (- a t)) (- z t)) x)
10.1b
(* (/ y (- a t)) (- z t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
44×*-un-lft-identity
36×add-cube-cbrt prod-diff
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
16×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg distribute-lft-out-- add-log-exp difference-of-squares
3×flip3-- flip--
2×expm1-log1p-u frac-times associate-*r/ prod-exp associate-/r/ cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 106
Calls
2 calls:
13.0ms
(+ (* (/ y (- a t)) (- z t)) x)
14.0ms
(* (/ y (- a t)) (- z t))

series404.0ms

Counts
2 → 6
Calls
2 calls:
218.0ms
(+ (* (/ y (- a t)) (- z t)) x)
186.0ms
(* (/ y (- a t)) (- z t))

simplify56.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0504930
11918707
25002699

prune297.0ms

Filtered
112 candidates to 78 candidates (69.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1066112
Fresh202
Picked011
Done000
Total1087115

Merged error: 0b

Counts
115 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
2.6b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- z t)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
44×distribute-rgt-in distribute-lft-in
39×add-cbrt-cube
38×add-sqr-sqrt *-un-lft-identity
37×prod-exp cbrt-unprod
36×prod-diff
32×add-cube-cbrt
18×cbrt-div
17×cbrt-undiv div-exp
15×cbrt-prod
13×frac-times flip3-- associate-*l* flip--
11×associate-*r/
9×pow1
8×associate-/r/
5×associate-*l/
4×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down distribute-lft-out-- difference-of-squares
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 162
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
32.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- z t)))

series864.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- a t))
160.0ms
(cbrt (- a t))
158.0ms
(cbrt (- a t))
395.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- z t)))

simplify124.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
010553504
148731977
250011945

prune497.0ms

Filtered
174 candidates to 105 candidates (60.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh055
Picked011
Done011
Total1747181

Merged error: 0b

Counts
181 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (/ (- z t) (- a t))) x)
0.0b
(/ (- z t) (- a t))
2.9b
(* y (/ (- z t) (- a t)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 120
Calls
3 calls:
10.0ms
(+ (* y (/ (- z t) (- a t))) x)
11.0ms
(/ (- z t) (- a t))
14.0ms
(* y (/ (- z t) (- a t)))

series206.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ (* y (/ (- z t) (- a t))) x)
53.0ms
(/ (- z t) (- a t))
67.0ms
(* y (/ (- z t) (- a t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0435778
11689734
25002734

prune299.0ms

Filtered
129 candidates to 90 candidates (69.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1263129
Fresh404
Picked011
Done022
Total1306136

Merged error: 0b

Counts
136 → 6

regimes148.0ms

Accuracy

11.1% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.0b

bsearch95.0ms

Steps
ItersRangePoint
7
1.3462875291462628e+181
3.417690898687963e+182
2.9821745485608074e+182
11
-2.752996780700534e+173
-1.5770730867647075e+151
-4.755951548613557e+160

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03527
13527

end0.0ms

sample533.0ms

Algorithm
intervals
Results
272.0ms8708×body80valid
0.0ms1×body2560valid
0.0ms1×body640valid