Details

Time bar (total: 4.6s)

sample31.0ms

Algorithm
intervals
Results
19.0ms336×body80valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0153
1333
2633
31073
41483
51813
62203
73073
85873
911813
1023143
1137383
1250013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.9b
(* (/ x y) (- z t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
10.0ms
(+ (* (/ x y) (- z t)) t)
18.0ms
(* (/ x y) (- z t))

series84.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* (/ x y) (- z t)) t)
52.0ms
(* (/ x y) (- z t))

simplify49.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0468779
11866547
25001533

prune218.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.0b
(fma (fma (- t) 1 t) (/ x y) t)
7.9b
(* (fma (* (cbrt z) (cbrt z)) (cbrt z) (- (* t 1))) (/ x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1 cbrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l*
2×pow1/3 prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative fma-udef div-inv
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
0.0ms
(fma (fma (- t) 1 t) (/ x y) t)
8.0ms
(* (fma (* (cbrt z) (cbrt z)) (cbrt z) (- (* t 1))) (/ x y))

series528.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt z)
166.0ms
(cbrt z)
41.0ms
(fma (fma (- t) 1 t) (/ x y) t)
154.0ms
(* (fma (* (cbrt z) (cbrt z)) (cbrt z) (- (* t 1))) (/ x y))

simplify34.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0245592
1934487
25002442

prune308.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
10.8b
(cbrt (/ x y))
10.8b
(cbrt (/ x y))
10.8b
(cbrt (/ x y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×distribute-rgt-in distribute-lft-in
39×cbrt-prod cbrt-div
36×prod-diff
29×frac-times
27×times-frac
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
8×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
4×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 163
Calls
4 calls:
50.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series229.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
60.0ms
(cbrt (/ x y))
62.0ms
(cbrt (/ x y))
58.0ms
(cbrt (/ x y))

simplify69.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
07772311
122291663
250011430

prune365.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y))) (- z t)))
4.1b
(cbrt (/ (cbrt x) y))
10.8b
(cbrt (/ x y))
10.8b
(cbrt (/ x y))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
99×cbrt-div
81×frac-times
57×cbrt-prod
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×distribute-rgt-in distribute-lft-in
43×associate-*r/
39×associate-*l/
36×times-frac prod-diff
25×pow1 add-exp-log
16×flip3-- flip--
15×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
4×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 202
Calls
4 calls:
107.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y))) (- z t)))
2.0ms
(cbrt (/ (cbrt x) y))
1.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series438.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y))) (- z t)))
180.0ms
(cbrt (/ (cbrt x) y))
64.0ms
(cbrt (/ x y))
63.0ms
(cbrt (/ x y))

simplify124.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
012594053
146053481
250013474

prune699.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample876.0ms

Algorithm
intervals
Results
569.0ms10726×body80valid