Details

Time bar (total: 4.6s)

sample28.0ms

Algorithm
intervals
Results
9.0ms353×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
24.0ms
(* y (- z t))
16.0ms
(/ (* y (- z t)) a)

series99.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* y (- z t))
53.0ms
(/ (* y (- z t)) a)

simplify41.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0231226
11033189
25002189

prune133.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
6.8b
(/ y (/ a (- z t)))

rewrite38.0ms

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:
11.0ms
(/ a (- z t))
17.0ms
(/ y (/ a (- z t)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ a (- z t))
46.0ms
(/ y (/ a (- z t)))

simplify58.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04811051
121901013
250011004

prune537.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.0b
(* (/ y a) (- z t))

rewrite28.0ms

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:
27.0ms
(* (/ y a) (- z t))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* (/ y a) (- z t))

simplify84.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0253228
1991200
24155200
35001200

prune91.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
3.3b
(/ (* (cbrt y) (cbrt y)) (/ (/ a (- z t)) (cbrt y)))
3.6b
(/ (/ a (- z t)) (cbrt y))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
793×times-frac
421×add-sqr-sqrt *-un-lft-identity
307×add-cube-cbrt
198×cbrt-prod
136×associate-/r*
57×distribute-lft-out-- difference-of-squares
39×associate-/r/
30×add-exp-log
23×div-inv
22×associate-/l*
19×flip3-- flip--
18×add-cbrt-cube
15×cbrt-undiv div-exp
4×pow1 add-log-exp
3×prod-exp cbrt-unprod
2×frac-2neg pow1/3 clear-num
1×associate-/l/
Counts
4 → 474
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
43.0ms
(/ (* (cbrt y) (cbrt y)) (/ (/ a (- z t)) (cbrt y)))
23.0ms
(/ (/ a (- z t)) (cbrt y))

series526.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt y)
166.0ms
(cbrt y)
77.0ms
(/ (* (cbrt y) (cbrt y)) (/ (/ a (- z t)) (cbrt y)))
118.0ms
(/ (/ a (- z t)) (cbrt y))

simplify85.0ms

Algorithm
egg-herbie
Counts
486 → 486
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015755743
150015374

prune1.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes248.0ms

Accuracy

83.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03117
13117

end0.0ms

sample708.0ms

Algorithm
intervals
Results
274.0ms10674×body80valid