Details

Time bar (total: 4.6s)

sample24.0ms

Algorithm
intervals
Results
9.0ms341×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: 5.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×*-un-lft-identity
16×times-frac
10×associate-*r*
8×distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×sub-neg associate-*r/ associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in frac-sub flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
38.0ms
(- (/ y z) (/ t (- 1.0 z)))
131.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series90.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (/ y z) (/ t (- 1.0 z)))
54.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify35.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0258422
1977391
25001389

prune139.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
8.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite313.0ms

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:
215.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
30.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
32.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
31.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series575.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
147.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
142.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
146.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify74.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
04191341
19691257
225061243
350021222

prune375.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.5b
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
3.0b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
18×pow1 add-exp-log
11×associate-*r* add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt associate-*r/ pow-prod-down prod-exp cbrt-unprod
8×times-frac
7×associate-*l*
6×sub-neg
4×distribute-lft-out-- add-log-exp difference-of-squares
2×flip3-- pow1/3 *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
133.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
136.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

series608.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
186.0ms
(cbrt x)
162.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
78.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0426899
11901709
25003639

prune238.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* 1.0 (/ (* t x) (pow z 2))) (/ (* t x) z))
4.5b
(/ (* t x) z)
5.9b
(/ (* x y) z)
13.6b
(/ (* t x) (pow z 2))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-cbrt-cube
14×times-frac associate-/r*
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×div-exp
6×cbrt-undiv unpow-prod-down add-log-exp
5×prod-exp
4×pow1
3×frac-2neg clear-num cbrt-unprod div-inv associate-/l*
2×pow-to-exp pow-exp unpow2 sqr-pow
1×+-commutative flip3-+ associate-*r/ frac-add sum-log flip-+
Counts
4 → 89
Calls
4 calls:
18.0ms
(+ (* 1.0 (/ (* t x) (pow z 2))) (/ (* t x) z))
9.0ms
(/ (* t x) z)
10.0ms
(/ (* x y) z)
16.0ms
(/ (* t x) (pow z 2))

series158.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(+ (* 1.0 (/ (* t x) (pow z 2))) (/ (* t x) z))
20.0ms
(/ (* t x) z)
20.0ms
(/ (* x y) z)
36.0ms
(/ (* t x) (pow z 2))

simplify55.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0417496
12189426
25001425

prune223.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes375.0ms

Accuracy

95.1% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 4.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05455
15455

end0.0ms

sample638.0ms

Algorithm
intervals
Results
290.0ms10146×body80valid