Details

Time bar (total: 3.6s)

sample37.0ms

Algorithm
intervals
Results
18.0ms349×body80valid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0153
1333
2633
31073
41483
51813
62203
73073
85873
911813
1023143
1137383
1250013

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.0b
(* (/ x y) (- z t))

rewrite23.0ms

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
add-exp-log add-cbrt-cube
associate-*r*
pow1 sub-neg add-log-exp
expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
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:
9.0ms
(+ (* (/ x y) (- z t)) t)
9.0ms
(* (/ x y) (- z t))

series82.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* (/ x y) (- z t)) t)
51.0ms
(* (/ x y) (- z t))

simplify48.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0468779
11866547
25001533

prune223.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.8b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
44×distribute-rgt-in distribute-lft-in
39×add-cbrt-cube
37×prod-exp cbrt-unprod
36×prod-diff
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×cbrt-undiv div-exp
pow1 cbrt-prod frac-times associate-*r/
associate-*l*
expm1-log1p-u sub-neg flip3-- flip-- log1p-expm1-u add-log-exp
pow1/3 pow-prod-down associate-*l/
times-frac associate-*r* *-commutative div-inv
Counts
4 → 142
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
21.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt x)
175.0ms
(cbrt x)
176.0ms
(cbrt x)
57.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify105.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09372716
146981450
250011418

prune345.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) z) (fma (- t) (/ x y) t))
1.3b
(fma (- t) (/ x y) t)
4.7b
(* (/ x y) z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
expm1-log1p-u associate-*r* log1p-expm1-u
prod-exp cbrt-unprod fma-udef unswap-sqr
cbrt-undiv +-commutative associate-+r+ fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
3 → 59
Calls
3 calls:
5.0ms
(+ (* (/ x y) z) (fma (- t) (/ x y) t))
1.0ms
(fma (- t) (/ x y) t)
10.0ms
(* (/ x y) z)

series91.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* (/ x y) z) (fma (- t) (/ x y) t))
33.0ms
(fma (- t) (/ x y) t)
20.0ms
(* (/ x y) z)

simplify118.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0257337
1939309
24430298
35001294

prune220.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b
(* (/ x y) z)
12.2b
(cbrt (* (/ x y) z))
12.2b
(cbrt (* (/ x y) z))
12.2b
(cbrt (* (/ x y) z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
add-exp-log add-cbrt-cube
pow1
expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*r*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 70
Calls
4 calls:
11.0ms
(* (/ x y) z)
7.0ms
(cbrt (* (/ x y) z))
6.0ms
(cbrt (* (/ x y) z))
7.0ms
(cbrt (* (/ x y) z))

series281.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (/ x y) z)
82.0ms
(cbrt (* (/ x y) z))
82.0ms
(cbrt (* (/ x y) z))
97.0ms
(cbrt (* (/ x y) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0222383
1730335
22840307
35001303

prune256.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes219.0ms

Accuracy

16.5% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.1b

bsearch73.0ms

Steps
ItersRangePoint
8
-8.50479308585855e-239
-1.4350650075064213e-241
-3.8404143461057547e-240
7
-2.083869218387929e+34
-4.033873014644798e+32
-4.252934958300173e+32

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03315
13515
23515

end0.0ms

sample556.0ms

Algorithm
intervals
Results
285.0ms10687×body80valid