Details

Time bar (total: 9.9s)

sample22.0ms

Algorithm
intervals
Results
9.0ms330×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2415
3635
4805
5965
61135
71215
81245
91245

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
6.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
40.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
144.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series127.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
34.0ms
(/ t (- 1.0 z))
55.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify242.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0166127825
1500122260

prune1.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.4b
(/ 1 (/ (- 1.0 z) t))
6.3b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite779.0ms

Algorithm
rewrite-expression-head
Rules
5816×times-frac
3997×add-sqr-sqrt
3951×*-un-lft-identity
3203×add-cube-cbrt
2418×prod-diff
808×distribute-rgt-in distribute-lft-in
383×difference-of-squares
369×distribute-lft-out--
350×div-inv
40×associate-/r/
19×associate-/r*
16×add-exp-log associate-*r*
13×fma-neg
10×add-cbrt-cube
7×div-exp
6×pow1
5×add-log-exp
3×cbrt-undiv expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×rec-exp flip3-- 1-exp frac-sub flip--
1×pow-flip frac-2neg diff-log pow-prod-down prod-exp clear-num *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
3 → 2601
Calls
3 calls:
77.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
13.0ms
(/ 1 (/ (- 1.0 z) t))
336.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series110.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
26.0ms
(/ 1 (/ (- 1.0 z) t))
47.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify1.1s

Algorithm
egg-herbie
Counts
2610 → 2610
Iterations

Useful iterations: 1 (71.0ms)

IterNodesCost
04255107120
1500188987

prune1.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* t (/ 1 (- 1.0 z)))
0.1b
(fma y (/ 1 z) (- (* t (/ 1 (- 1.0 z)))))
6.3b
(* x (+ (fma y (/ 1 z) (- (* t (/ 1 (- 1.0 z))))) (fma (- t) (/ 1 (- 1.0 z)) (* t (/ 1 (- 1.0 z))))))
26.2b
(fma (- t) (/ 1 (- 1.0 z)) (* t (/ 1 (- 1.0 z))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×*-un-lft-identity associate-*r*
17×times-frac
16×add-cube-cbrt
15×add-exp-log
11×add-cbrt-cube
8×pow1
6×associate-*l*
5×prod-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ cbrt-unprod distribute-lft-out-- difference-of-squares
2×div-exp pow-prod-down associate-/r/ *-commutative fma-udef
1×cbrt-undiv distribute-rgt-in rec-exp flip3-- distribute-lft-in flip3-+ 1-exp un-div-inv flip-- flip-+ div-inv distribute-lft-out
Counts
4 → 91
Calls
4 calls:
19.0ms
(* t (/ 1 (- 1.0 z)))
0.0ms
(fma y (/ 1 z) (- (* t (/ 1 (- 1.0 z)))))
10.0ms
(* x (+ (fma y (/ 1 z) (- (* t (/ 1 (- 1.0 z))))) (fma (- t) (/ 1 (- 1.0 z)) (* t (/ 1 (- 1.0 z))))))
1.0ms
(fma (- t) (/ 1 (- 1.0 z)) (* t (/ 1 (- 1.0 z))))

series204.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* t (/ 1 (- 1.0 z)))
45.0ms
(fma y (/ 1 z) (- (* t (/ 1 (- 1.0 z)))))
89.0ms
(* x (+ (fma y (/ 1 z) (- (* t (/ 1 (- 1.0 z))))) (fma (- t) (/ 1 (- 1.0 z)) (* t (/ 1 (- 1.0 z))))))
32.0ms
(fma (- t) (/ 1 (- 1.0 z)) (* t (/ 1 (- 1.0 z))))

simplify58.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0464917
12092809
25001764

prune358.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (/ (cbrt (- 1.0 z)) t))
0.5b
(/ 1 (/ (cbrt (- 1.0 z)) t))
6.3b
(* x (fma 1 (/ y z) (- (* (/ 1 (/ (cbrt (- 1.0 z)) t)) (/ 1 (/ (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))) 1))))))
26.2b
(fma (- (/ 1 (/ (cbrt (- 1.0 z)) t))) (/ 1 (/ (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))) 1)) (* (/ 1 (/ (cbrt (- 1.0 z)) t)) (/ 1 (/ (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))) 1))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
234×add-sqr-sqrt
232×*-un-lft-identity
184×add-cube-cbrt
120×cbrt-prod
56×associate-/r*
28×add-exp-log
24×distribute-lft-out-- difference-of-squares
14×div-exp add-cbrt-cube
10×div-inv
8×pow1
6×cbrt-undiv associate-/l*
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* fma-udef
2×pow-flip frac-2neg clear-num associate-/r/ inv-pow
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 308
Calls
4 calls:
12.0ms
(/ 1 (/ (cbrt (- 1.0 z)) t))
11.0ms
(/ 1 (/ (cbrt (- 1.0 z)) t))
3.0ms
(* x (fma 1 (/ y z) (- (* (/ 1 (/ (cbrt (- 1.0 z)) t)) (/ 1 (/ (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))) 1))))))
0.0ms
(fma (- (/ 1 (/ (cbrt (- 1.0 z)) t))) (/ 1 (/ (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))) 1)) (* (/ 1 (/ (cbrt (- 1.0 z)) t)) (/ 1 (/ (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))) 1))))

series951.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(/ 1 (/ (cbrt (- 1.0 z)) t))
210.0ms
(/ 1 (/ (cbrt (- 1.0 z)) t))
52.0ms
(* x (fma 1 (/ y z) (- (* (/ 1 (/ (cbrt (- 1.0 z)) t)) (/ 1 (/ (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))) 1))))))
485.0ms
(fma (- (/ 1 (/ (cbrt (- 1.0 z)) t))) (/ 1 (/ (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))) 1)) (* (/ 1 (/ (cbrt (- 1.0 z)) t)) (/ 1 (/ (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))) 1))))

simplify125.0ms

Algorithm
egg-herbie
Counts
320 → 320
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08653729
139633241
250032855

prune843.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes413.0ms

Accuracy

92.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 4.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05870
16270
26270

end0.0ms

sample540.0ms

Algorithm
intervals
Results
293.0ms10181×body80valid