Details

Time bar (total: 3.4s)

sample33.0ms

Algorithm
intervals
Results
21.0ms348×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2584
3964
41314
51554
61794
73104
86434
911714
1024824
1137744
1250024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.3b
(* (- y x) (/ z t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
2.0ms
(+ x (* (- y x) (/ z t)))
17.0ms
(* (- y x) (/ z t))

series76.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* (- y x) (/ z t)))
41.0ms
(* (- y x) (/ z t))

simplify45.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0296310
11245287
25001275

prune123.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.7b
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
5×associate-*r/
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×frac-times flip3-- associate-*l/ flip--
1×associate-*l* *-commutative div-inv
Counts
4 → 84
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
55.0ms
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

series626.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt z)
179.0ms
(cbrt z)
175.0ms
(cbrt z)
81.0ms
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

simplify76.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0430694
12345534
25003495

prune270.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* z (- y x)) (/ 1 t)))
0.0b
(* z (- y x))
5.0b
(* (* z (- y x)) (/ 1 t))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×+-commutative flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
2.0ms
(+ x (* (* z (- y x)) (/ 1 t)))
9.0ms
(* z (- y x))
18.0ms
(* (* z (- y x)) (/ 1 t))

series122.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ x (* (* z (- y x)) (/ 1 t)))
39.0ms
(* z (- y x))
46.0ms
(* (* z (- y x)) (/ 1 t))

simplify58.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0418475
12034406
25002382

prune174.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (pow (/ (* z (- y x)) t) 1))
0.0b
(* z (- y x))
5.0b
(/ (* z (- y x)) t)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-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×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/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
8.0ms
(+ x (pow (/ (* z (- y x)) t) 1))
10.0ms
(* z (- y x))
6.0ms
(/ (* z (- y x)) t)

series122.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ x (pow (/ (* z (- y x)) t) 1))
39.0ms
(* z (- y x))
47.0ms
(/ (* z (- y x)) t)

simplify45.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0296340
11250299
25001287

prune157.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes223.0ms

Accuracy

16.1% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911
12911

end0.0ms

sample924.0ms

Algorithm
intervals
Results
652.0ms10666×body80valid