Details

Time bar (total: 3.4s)

sample24.0ms

Algorithm
intervals
Results
10.0ms360×body80valid

simplify49.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
7.3b
(/ (* y (- z t)) a)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
13.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series97.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* y (- z t))
54.0ms
(/ (* y (- z t)) a)

simplify37.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0231226
11033189
25002189

prune125.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
5.3b
(/ y (/ a (- z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ a (- z t))
62.0ms
(/ y (/ a (- z t)))

simplify63.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04811051
121901013
250011004

prune386.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.7b
(* (/ y a) (- z t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
15.0ms
(* (/ y a) (- z t))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* (/ y a) (- z t))

simplify91.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0253228
1991200
24155200
35001200

prune104.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.3b
(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.7b
(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
9×associate-*r* pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 164
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
105.0ms
(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
30.0ms
(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

series502.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt (- z t))
166.0ms
(cbrt (- z t))
63.0ms
(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
110.0ms
(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

simplify85.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
08182292
126342077
250022018

prune466.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes323.0ms

Accuracy

36.7% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416

end0.0ms

sample618.0ms

Algorithm
intervals
Results
299.0ms10683×body80valid