Details

Time bar (total: 2.9s)

sample21.0ms

Algorithm
intervals
Results
10.0ms334×body80valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 2.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:
9.0ms
(+ (* (/ x y) (- z t)) t)
9.0ms
(* (/ x y) (- z t))

series83.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* (/ x y) (- z t)) t)
52.0ms
(* (/ x y) (- z t))

simplify56.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0468779
11866547
25001533

prune196.0ms

Filtered
104 candidates to 71 candidates (68.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New995104
Fresh000
Picked011
Done000
Total996105

Merged error: 0b

Counts
105 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.4b
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
3.1b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
9×associate-*r* pow-prod-down
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 172
Calls
4 calls:
3.0ms
(cbrt (- z t))
5.0ms
(cbrt (- z t))
20.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
15.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series425.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- z t))
139.0ms
(cbrt (- z t))
49.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
94.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify80.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
08322341
126732121
250012060

prune360.0ms

Filtered
184 candidates to 113 candidates (61.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1840184
Fresh044
Picked011
Done011
Total1846190

Merged error: 0b

Counts
190 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (/ (- z t) y)) t)
0.0b
(/ (- z t) y)
7.0b
(* x (/ (- z t) y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 94
Calls
3 calls:
7.0ms
(+ (* x (/ (- z t) y)) t)
6.0ms
(/ (- z t) y)
9.0ms
(* x (/ (- z t) y))

series108.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (* x (/ (- z t) y)) t)
25.0ms
(/ (- z t) y)
49.0ms
(* x (/ (- z t) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0355522
11429488
25001473

prune164.0ms

Filtered
103 candidates to 72 candidates (69.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1021103
Fresh123
Picked011
Done022
Total1036109

Merged error: 0b

Counts
109 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
7×add-exp-log fma-def add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt times-frac
4×add-log-exp
3×associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u associate-*r/ div-exp log1p-expm1-u div-inv associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ distribute-lft-out associate-/l*
Counts
2 → 46
Calls
2 calls:
9.0ms
(+ (/ (* x (- z t)) y) t)
8.0ms
(/ (* x (- z t)) y)

series78.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (/ (* x (- z t)) y) t)
44.0ms
(/ (* x (- z t)) y)

simplify114.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0239247
1881223
24218204
35001203

prune83.0ms

Filtered
52 candidates to 40 candidates (76.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New51152
Fresh112
Picked011
Done033
Total52658

Merged error: 0b

Counts
58 → 6

regimes233.0ms

Accuracy

18.9% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.9b

bsearch49.0ms

Steps
ItersRangePoint
5
2.4722126928827536e-81
5.6082818139788675e-81
3.654265847341133e-81
7
-2.4049201288236455e+28
-1.0413776707351804e+26
-1.5407629577323783e+26

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0248
1248

end0.0ms

sample585.0ms

Algorithm
intervals
Results
324.0ms10513×body80valid