Details

Time bar (total: 4.3s)

sample19.0ms

Algorithm
intervals
Results
8.0ms279×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
7.4b
(/ x (/ (* z (- y t)) 2.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
36×times-frac
35×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg flip3-- frac-2neg clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 121
Calls
3 calls:
10.0ms
(/ (* z (- y t)) 2.0)
12.0ms
(* z (- y t))
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series133.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (* z (- y t)) 2.0)
35.0ms
(* z (- y t))
48.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0498867
12215667
25001667

prune252.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.2b
(/ (/ x z) (/ (- y t) 2.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 301
Calls
1 calls:
16.0ms
(/ (/ x z) (/ (- y t) 2.0))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015663649
150013558

prune739.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.3b
(* (/ (cbrt x) (/ (- y t) (cbrt x))) (* (/ (cbrt x) z) 2.0))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
384×times-frac
250×add-sqr-sqrt *-un-lft-identity
209×associate-*l*
201×cbrt-prod
178×add-cube-cbrt
40×add-exp-log
36×distribute-lft-out-- difference-of-squares
28×add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv div-exp
9×pow1
7×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times associate-*r/ associate-*r* associate-/r/ *-commutative
Counts
4 → 282
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
86.0ms
(* (/ (cbrt x) (/ (- y t) (cbrt x))) (* (/ (cbrt x) z) 2.0))

series624.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
171.0ms
(cbrt x)
172.0ms
(cbrt x)
105.0ms
(* (/ (cbrt x) (/ (- y t) (cbrt x))) (* (/ (cbrt x) z) 2.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
294 → 294
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
08972871
138882488
250022439

prune930.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y t))
5.8b
(* (/ x (- y t)) (* (/ 1 z) 2.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
25×add-cbrt-cube
21×add-cube-cbrt associate-*l*
18×prod-exp
10×div-exp cbrt-unprod
7×pow1 distribute-lft-out-- difference-of-squares
6×cbrt-undiv
5×associate-/r*
4×associate-/r/
3×pow-prod-down associate-*l/ associate-/l*
2×expm1-log1p-u rec-exp flip3-- 1-exp flip-- log1p-expm1-u div-inv add-log-exp
1×frac-times frac-2neg associate-*r/ associate-*r* clear-num *-commutative
Counts
2 → 92
Calls
2 calls:
5.0ms
(/ x (- y t))
29.0ms
(* (/ x (- y t)) (* (/ 1 z) 2.0))

series101.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ x (- y t))
74.0ms
(* (/ x (- y t)) (* (/ 1 z) 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0428552
11844460
25002460

prune186.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes250.0ms

Accuracy

92.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04135
14135

end0.0ms

sample478.0ms

Algorithm
intervals
Results
256.0ms8761×body80valid