Details

Time bar (total: 3.3s)

sample30.0ms

Algorithm
intervals
Results
13.0ms351×body80valid

simplify137.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:
23.0ms
(+ (* (/ x y) (- z t)) t)
33.0ms
(* (/ x y) (- z t))

series96.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* (/ x y) (- z t)) t)
55.0ms
(* (/ x y) (- z t))

simplify68.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0468779
11866547
25001533

prune256.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) x)
0.0b
(+ (* 1 (/ (* (- z t) x) y)) t)
6.7b
(/ (* (- z t) x) y)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative fma-def frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
21.0ms
(* (- z t) x)
28.0ms
(+ (* 1 (/ (* (- z t) x) y)) t)
17.0ms
(/ (* (- z t) x) y)

series114.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (- z t) x)
36.0ms
(+ (* 1 (/ (* (- z t) x) y)) t)
49.0ms
(/ (* (- z t) x) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0313356
11236304
25001294

prune185.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) y)
7.1b
(fma (/ (- z t) y) x t)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
22.0ms
(/ (- z t) y)
0.0ms
(fma (/ (- z t) y) x t)

series65.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- z t) y)
38.0ms
(fma (/ (- z t) y) x t)

simplify60.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0194271
1528254
21882245
35001245

prune150.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (/ x y)) (- z t))
0.1b
(* (sqrt (/ x y)) (* (sqrt (/ x y)) (- z t)))
9.5b
(sqrt (/ x y))
9.5b
(sqrt (/ x y))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
73×*-un-lft-identity
71×add-cube-cbrt
55×distribute-rgt-in distribute-lft-in
54×prod-diff sqrt-prod
39×times-frac
32×associate-*l*
17×sqrt-div
13×pow1
11×add-exp-log frac-times associate-*r/ add-cbrt-cube
6×sub-neg flip3-- associate-*r* flip--
4×expm1-log1p-u rem-sqrt-square pow-prod-down associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×sqrt-pow1 pow1/2 *-commutative
1×distribute-lft-out-- difference-of-squares
Counts
4 → 206
Calls
4 calls:
36.0ms
(* (sqrt (/ x y)) (- z t))
70.0ms
(* (sqrt (/ x y)) (* (sqrt (/ x y)) (- z t)))
4.0ms
(sqrt (/ x y))
5.0ms
(sqrt (/ x y))

series263.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (sqrt (/ x y)) (- z t))
53.0ms
(* (sqrt (/ x y)) (* (sqrt (/ x y)) (- z t)))
55.0ms
(sqrt (/ x y))
48.0ms
(sqrt (/ x y))

simplify104.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06361909
127041435
250011415

prune508.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes161.0ms

Accuracy

8.7% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.2b

bsearch70.0ms

Steps
ItersRangePoint
8
-1.7645536767299438e-177
-3.601221515835378e-182
-1.6142504241751283e-177
8
-2.227038479526321e-109
-2.7309085248052705e-113
-2.173002117854331e-109

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02812
13012
23012

end0.0ms

sample633.0ms

Algorithm
intervals
Results
271.0ms10607×body80valid