Details

Time bar (total: 5.7s)

sample18.0ms

Algorithm
intervals
Results
8.0ms319×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.9b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
4.3b
(* (/ x y) (- z t))

rewrite24.0ms

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)
10.0ms
(* (/ x y) (- z t))

series85.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* (/ x y) (- z t)) t)
49.0ms
(* (/ x y) (- z t))

simplify49.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0468779
11866547
25001533

prune215.0ms

Filtered
104 candidates to 70 candidates (67.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New977104
Fresh101
Picked011
Done000
Total988106

Merged error: 0.0b

Counts
106 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.7b
(pow (cbrt z) 3)
2.4b
(* (/ x y) t)
3.4b
(/ (pow (cbrt z) 3) (/ y x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
415×times-frac
226×add-sqr-sqrt
221×add-cube-cbrt *-un-lft-identity
93×cbrt-prod
90×unpow-prod-down cube-prod
23×add-exp-log
21×div-inv
18×associate-/l*
15×cube-mult unpow3 sqr-pow
14×add-cbrt-cube
13×associate-*l* associate-/r*
10×div-exp
pow1
cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
pow-to-exp pow-unpow associate-*r* pow-exp
pow-pow pow1/3 prod-exp cbrt-unprod unswap-sqr
frac-2neg pow-prod-down associate-*l/ clear-num associate-/r/ *-commutative rem-cube-cbrt
Counts
4 → 365
Calls
4 calls:
1.0ms
(cbrt z)
3.0ms
(pow (cbrt z) 3)
6.0ms
(* (/ x y) t)
12.0ms
(/ (pow (cbrt z) 3) (/ y x))

series452.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt z)
213.0ms
(pow (cbrt z) 3)
18.0ms
(* (/ x y) t)
49.0ms
(/ (pow (cbrt z) 3) (/ y x))

simplify66.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
09962762
150012473

prune708.0ms

Filtered
377 candidates to 166 candidates (44.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3761377
Fresh426
Picked011
Done011
Total3805385

Merged error: 0b

Counts
385 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (pow z 1) (/ y x)) (* (/ x y) t))
0.2b
(* (/ x y) (fma (- t) 1 t))
2.4b
(* (/ x y) t)
3.4b
(/ (pow z 1) (/ y x))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
491×times-frac
266×add-sqr-sqrt
256×add-cube-cbrt *-un-lft-identity
120×unpow-prod-down
96×fma-neg prod-diff
40×sqr-pow
27×add-exp-log div-inv
26×associate-*l*
19×add-cbrt-cube
13×associate-/r*
11×div-exp
pow1
associate-/l*
associate-*r* add-log-exp
cbrt-undiv
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
associate-*l/ associate-/r/
pow-to-exp pow-prod-down pow-exp *-commutative fma-udef
distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log clear-num frac-sub flip--
Counts
4 → 409
Calls
4 calls:
32.0ms
(- (/ (pow z 1) (/ y x)) (* (/ x y) t))
6.0ms
(* (/ x y) (fma (- t) 1 t))
6.0ms
(* (/ x y) t)
8.0ms
(/ (pow z 1) (/ y x))

series1.4s

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (/ (pow z 1) (/ y x)) (* (/ x y) t))
1.4s
(* (/ x y) (fma (- t) 1 t))
18.0ms
(* (/ x y) t)
19.0ms
(/ (pow z 1) (/ y x))

simplify136.0ms

Algorithm
egg-herbie
Counts
421 → 421
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
011473555
142773153
250023134

prune1.2s

Filtered
421 candidates to 270 candidates (64.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4210421
Fresh022
Picked011
Done022
Total4215426

Merged error: 0b

Counts
426 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (/ (- z t) y)) t)
0.0b
(/ (- z t) y)
4.4b
(* x (/ (- z t) y))

rewrite25.0ms

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:
7.0ms
(+ (* x (/ (- z t) y)) t)
6.0ms
(/ (- z t) y)
9.0ms
(* x (/ (- z t) y))

series106.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* x (/ (- z t) y)) t)
25.0ms
(/ (- z t) y)
49.0ms
(* x (/ (- z t) y))

simplify46.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0355522
11429488
25001473

prune191.0ms

Filtered
103 candidates to 72 candidates (69.9%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done033
Total1035108

Merged error: 0b

Counts
108 → 5

regimes137.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample537.0ms

Algorithm
intervals
Results
275.0ms10705×body80valid