Details

Time bar (total: 3.0s)

sample29.0ms

Algorithm
intervals
Results
13.0ms356×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.8b
(* (/ x y) (- z t))

rewrite35.0ms

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:
10.0ms
(+ (* (/ x y) (- z t)) t)
20.0ms
(* (/ x y) (- z t))

series85.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* (/ x y) (- z t)) t)
50.0ms
(* (/ x y) (- z t))

simplify48.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0468779
11866547
25001533

prune258.0ms

Filtered
104 candidates to 71 candidates (68.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

5.8b
(cbrt (* (/ x y) (- z t)))
7.8b
(* (/ x y) (- z t))
7.8b
(* (/ x y) (- z t))
7.8b
(* (/ x y) (- z t))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
85×add-sqr-sqrt
70×*-un-lft-identity
64×add-cube-cbrt
54×prod-diff
39×associate-*l*
33×distribute-rgt-in distribute-lft-in
30×times-frac
19×add-exp-log add-cbrt-cube
15×associate-*r*
10×pow1
frac-times flip3-- associate-*r/ flip--
sub-neg prod-exp cbrt-unprod unswap-sqr
cbrt-div
expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
cbrt-prod pow1/3
Counts
4 → 202
Calls
4 calls:
5.0ms
(cbrt (* (/ x y) (- z t)))
18.0ms
(* (/ x y) (- z t))
19.0ms
(* (/ x y) (- z t))
20.0ms
(* (/ x y) (- z t))

series284.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(cbrt (* (/ x y) (- z t)))
51.0ms
(* (/ x y) (- z t))
55.0ms
(* (/ x y) (- z t))
56.0ms
(* (/ x y) (- z t))

simplify51.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04651708
117211237
250011199

prune485.0ms

Filtered
214 candidates to 132 candidates (61.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (/ (- z t) y)) t)
0.0b
(/ (- z t) y)
6.8b
(* x (/ (- z t) y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-/l* add-log-exp
expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative flip3-- fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 94
Calls
3 calls:
6.0ms
(+ (* x (/ (- z t) y)) t)
12.0ms
(/ (- z t) y)
16.0ms
(* x (/ (- z t) y))

series107.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* x (/ (- z t) y)) t)
29.0ms
(/ (- z t) y)
46.0ms
(* x (/ (- z t) y))

simplify39.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0355522
11429488
25001473

prune200.0ms

Filtered
103 candidates to 73 candidates (70.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log *-un-lft-identity add-cbrt-cube
add-cube-cbrt
pow1 associate-*l* add-log-exp
associate-*l/
expm1-log1p-u times-frac associate-*r* associate-/r* log1p-expm1-u
cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-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:
13.0ms
(* (- z t) x)
11.0ms
(+ (* 1 (/ (* (- z t) x) y)) t)
7.0ms
(/ (* (- z t) x) y)

series106.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* (- z t) x)
32.0ms
(+ (* 1 (/ (* (- z t) x) y)) t)
41.0ms
(/ (* (- z t) x) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0313356
11236304
25001294

prune148.0ms

Filtered
73 candidates to 54 candidates (74.0%)
Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes183.0ms

Accuracy

-11.3% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.1b

bsearch61.0ms

Steps
ItersRangePoint
8
1.701896342459868e-91
1.2626721424488452e-87
1.9795253409931867e-91
6
-2.6823729398276696e-29
-1.8721990731220798e-30
-2.4932711538134707e-30

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03013
13213
23213

end0.0ms

sample525.0ms

Algorithm
intervals
Results
266.0ms10637×body80valid