Details

Time bar (total: 3.3s)

sample23.0ms

Algorithm
intervals
Results
9.0ms345×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0154
1264
2493
3973
41553
52023
62413
73043
84363
95923
109903
1111253
1212603
1312603

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

2.7b
(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y a) (- z t) x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (/ y a) (- z t) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04169
19462
227153
3130753
4500153

prune39.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

5.9b
(* (/ y a) (- z t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 62
Calls
1 calls:
16.0ms
(* (/ y a) (- z t))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* (/ y a) (- z t))

simplify42.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0380523
11488369
25001357

prune132.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- z t)))
9.9b
(cbrt (/ y a))
9.9b
(cbrt (/ y a))
9.9b
(cbrt (/ y a))

rewrite58.0ms

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:
43.0ms
(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- z t)))
1.0ms
(cbrt (/ y a))
1.0ms
(cbrt (/ y a))
4.0ms
(cbrt (/ y a))

series241.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- z t)))
59.0ms
(cbrt (/ y a))
63.0ms
(cbrt (/ y a))
65.0ms
(cbrt (/ y a))

simplify66.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
07762311
122301663
250021430

prune391.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.2b
(* (* (cbrt (/ y a)) (* (cbrt y) (cbrt (/ 1 a)))) (* (cbrt (/ y a)) (- z t)))
9.9b
(cbrt (/ y a))
9.9b
(cbrt (/ y a))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
44×distribute-rgt-in distribute-lft-in
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
38×cbrt-div
36×prod-diff
31×associate-*r/
29×cbrt-prod frac-times
25×pow1 add-exp-log
18×times-frac
15×pow-prod-down prod-exp cbrt-unprod
14×add-cbrt-cube
13×associate-*l/
8×flip3-- flip--
4×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 158
Calls
4 calls:
0.0ms
(cbrt y)
76.0ms
(* (* (cbrt (/ y a)) (* (cbrt y) (cbrt (/ 1 a)))) (* (cbrt (/ y a)) (- z t)))
1.0ms
(cbrt (/ y a))
2.0ms
(cbrt (/ y a))

series430.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
130.0ms
(* (* (cbrt (/ y a)) (* (cbrt y) (cbrt (/ 1 a)))) (* (cbrt (/ y a)) (- z t)))
61.0ms
(cbrt (/ y a))
66.0ms
(cbrt (/ y a))

simplify100.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
09022597
135232171
250012126

prune441.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes264.0ms

Accuracy

46.1% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.6b

bsearch80.0ms

Steps
ItersRangePoint
8
0.17847941936231398
131.5682282900535
14.572903576040874
9
-1.3332602588661328e+35
-4.654411552494739e+26
-3.429996923503724e+27

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0258
1258

end0.0ms

sample645.0ms

Algorithm
intervals
Results
309.0ms10698×body80valid