Details

Time bar (total: 3.9s)

sample22.0ms

Algorithm
intervals
Results
9.0ms339×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.6b
(/ (* y (- z t)) a)

rewrite22.0ms

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:
4.0ms
(- x (/ (* y (- z t)) a))
10.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series131.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- x (/ (* y (- z t)) a))
38.0ms
(* y (- z t))
47.0ms
(/ (* y (- z t)) a)

simplify37.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0291345
11204306
25001306

prune146.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.9b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite40.0ms

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:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
0.0ms
(cbrt a)
35.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series607.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt a)
173.0ms
(cbrt a)
171.0ms
(cbrt a)
90.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0480918
12615741
25001706

prune314.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.9b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×add-cbrt-cube
17×add-sqr-sqrt
15×prod-exp cbrt-unprod
13×*-un-lft-identity
12×cbrt-undiv div-exp
11×add-cube-cbrt
9×cbrt-prod times-frac associate-*r*
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 81
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
0.0ms
(cbrt a)
37.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

series626.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt a)
186.0ms
(cbrt a)
173.0ms
(cbrt a)
90.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
03921037
12140778
25001751

prune282.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
6.3b
(/ y (/ a (- z t)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
27.0ms
(- x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
54.0ms
(/ y (/ a (- z t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05511200
123711160
250011157

prune362.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes289.0ms

Accuracy

82.7% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02316
12316

end0.0ms

sample590.0ms

Algorithm
intervals
Results
292.0ms10672×body80valid