Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
10.0ms334×body80valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1017524
1130214
1245414
1350014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.6b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
8.0ms
(+ (* (/ x y) (- z t)) t)
9.0ms
(* (/ x y) (- z t))

series87.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* (/ x y) (- z t)) t)
52.0ms
(* (/ x y) (- z t))

simplify34.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0314342
11191302
25002302

prune115.0ms

Filtered
63 candidates to 43 candidates (68.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New58563
Fresh000
Picked011
Done000
Total58664

Merged error: 0b

Counts
64 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
1.9b
(* (/ x (cbrt y)) (- z t))
4.7b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
32×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1 frac-times associate-*r/
10×cbrt-undiv distribute-rgt-in distribute-lft-in
sub-neg rec-exp flip3-- 1-exp associate-*r* flip--
pow-prod-down associate-*l/ add-log-exp
unswap-sqr
pow1/3 *-commutative div-inv
distribute-lft-out-- difference-of-squares
Counts
4 → 141
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(* (/ x (cbrt y)) (- z t))
18.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

series614.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt y)
175.0ms
(cbrt y)
187.0ms
(* (/ x (cbrt y)) (- z t))
85.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

simplify84.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06881266
13362978
25001864

prune284.0ms

Filtered
153 candidates to 95 candidates (62.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1530153
Fresh044
Picked011
Done011
Total1536159

Merged error: 0b

Counts
159 → 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))

rewrite26.0ms

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
distribute-lft-out-- difference-of-squares
pow1 associate-/l* add-log-exp
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
7.0ms
(+ (* x (/ (- z t) y)) t)
6.0ms
(/ (- z t) y)
10.0ms
(* x (/ (- z t) y))

series109.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (* x (/ (- z t) y)) t)
25.0ms
(/ (- z t) y)
48.0ms
(* x (/ (- z t) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0342501
11379468
25001456

prune149.0ms

Filtered
96 candidates to 65 candidates (67.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New95196
Fresh123
Picked011
Done022
Total966102

Merged error: 0b

Counts
102 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt add-log-exp
times-frac associate-/r*
pow1 cbrt-undiv associate-*r/ div-exp associate-/l/
+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 35
Calls
2 calls:
11.0ms
(+ (/ (* x (- z t)) y) t)
7.0ms
(/ (* x (- z t)) y)

series77.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (/ (* x (- z t)) y) t)
45.0ms
(/ (* x (- z t)) y)

simplify97.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0230230
1852207
24080192
35001192

prune57.0ms

Filtered
41 candidates to 27 candidates (65.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New40141
Fresh112
Picked011
Done033
Total41647

Merged error: 0b

Counts
47 → 6

regimes180.0ms

Accuracy

18.9% (1.5b remaining)

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

bsearch52.0ms

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

sample613.0ms

Algorithm
intervals
Results
343.0ms10513×body80valid