Details

Time bar (total: 4.8s)

sample25.0ms

Algorithm
intervals
Results
12.0ms316×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
4.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
33×*-un-lft-identity
23×times-frac
14×add-cube-cbrt
10×associate-*r*
8×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1
3×associate-*r/ associate-*l* associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative frac-sub cbrt-unprod div-inv unswap-sqr
Counts
2 → 69
Calls
2 calls:
5.0ms
(/ t (- 1.0 z))
87.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series83.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ t (- 1.0 z))
49.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0346447
11353419
25001417

prune186.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.5b
(/ 1 (/ (- 1.0 z) t))
4.3b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
151×times-frac
138×add-sqr-sqrt
114×*-un-lft-identity
71×add-cube-cbrt
26×difference-of-squares
22×associate-/r*
19×distribute-lft-out--
18×add-exp-log
16×associate-*r*
12×add-cbrt-cube
8×div-exp associate-/l*
7×div-inv
6×pow1
4×cbrt-undiv
3×associate-*r/ associate-*l* add-log-exp
2×distribute-rgt-in sub-neg rec-exp flip3-- frac-2neg distribute-lft-in 1-exp clear-num flip-- associate-/l/
1×pow-flip div-sub pow-prod-down prod-exp associate-/r/ *-commutative frac-sub cbrt-unprod inv-pow unswap-sqr
Counts
3 → 176
Calls
3 calls:
7.0ms
(/ (- 1.0 z) t)
10.0ms
(/ 1 (/ (- 1.0 z) t))
181.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series110.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (- 1.0 z) t)
30.0ms
(/ 1 (/ (- 1.0 z) t))
47.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify77.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06941331
132241087
250011080

prune338.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
6.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
141.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
23.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
20.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
21.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series549.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
140.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
137.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
141.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
04191341
19691257
225061243
350021222

prune379.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

4.3b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
6.3b
(cbrt (* x (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))
6.3b
(cbrt (* x (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))
6.3b
(cbrt (* x (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
19×times-frac
17×*-un-lft-identity
16×associate-*r*
12×associate-*r/
10×difference-of-squares
9×cbrt-div
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×flip3-- frac-sub flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* distribute-lft-out--
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 74
Calls
4 calls:
181.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
45.0ms
(cbrt (* x (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))
47.0ms
(cbrt (* x (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))
47.0ms
(cbrt (* x (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))

series749.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
234.0ms
(cbrt (* x (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))
234.0ms
(cbrt (* x (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))
234.0ms
(cbrt (* x (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0375884
11536789
25002771

prune297.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes337.0ms

Accuracy

88.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 4.7b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05454
15454

end0.0ms

sample576.0ms

Algorithm
intervals
Results
318.0ms10110×body80valid