Details

Time bar (total: 3.5s)

sample29.0ms

Algorithm
intervals
Results
16.0ms327×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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:

3.6b
(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)

series44.0ms

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

simplify45.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
04169
19462
227153
3130753
4500153

prune42.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y a) (- z t)) x)
7.2b
(* (/ y a) (- z t))

rewrite33.0ms

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
(+ (* (/ y a) (- z t)) x)
18.0ms
(* (/ y a) (- z t))

series103.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (* (/ y a) (- z t)) x)
56.0ms
(* (/ y a) (- z t))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0477779
11776547
25001533

prune248.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- z t)))
12.3b
(cbrt (/ y a))
12.3b
(cbrt (/ y a))
12.3b
(cbrt (/ y a))

rewrite63.0ms

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 (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- z t)))
1.0ms
(cbrt (/ y a))
2.0ms
(cbrt (/ y a))
2.0ms
(cbrt (/ y a))

series249.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- z t)))
61.0ms
(cbrt (/ y a))
64.0ms
(cbrt (/ y a))
68.0ms
(cbrt (/ y a))

simplify65.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
07762311
122301663
250021430

prune390.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
1.9b
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))))
12.3b
(cbrt (/ y a))
12.3b
(cbrt (/ y a))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
34×cbrt-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×times-frac
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div div-inv
Counts
4 → 77
Calls
4 calls:
0.0ms
(cbrt a)
6.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))))
1.0ms
(cbrt (/ y a))
2.0ms
(cbrt (/ y a))

series386.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt a)
87.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))))
64.0ms
(cbrt (/ y a))
61.0ms
(cbrt (/ y a))

simplify45.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0199551
1437512
21316499
35001481

prune426.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes236.0ms

Accuracy

68.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.6b

bsearch76.0ms

Steps
ItersRangePoint
6
5.0931338003169406e+64
4.073964646582908e+65
5.154834924403296e+64
9
-4.711447205731723e-40
-2.5712241958422094e-49
-1.0441358433771251e-44

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0258
1258

end0.0ms

sample835.0ms

Algorithm
intervals
Results
527.0ms10523×body80valid