Details

Time bar (total: 17.7s)

sample178.0ms

Algorithm
intervals
Results
72.0ms1413×body80nan
33.0ms501×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune10.0ms

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: 0.2b

Counts
2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.9b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log log-prod
10×pow1 add-log-exp
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
3×times-frac exp-sum prod-exp associate-/r* cbrt-unprod rem-exp-log
2×cbrt-undiv exp-diff diff-log div-exp pow-prod-down associate-*l/ log-pow *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×sub-neg flip3-- frac-2neg associate-*r/ associate--l+ clear-num sum-log flip-- div-inv associate-/l/ associate-/l*
Counts
4 → 95
Calls
4 calls:
7.0ms
(* (- t 1.0) (log a))
5.0ms
(* y (log z))
11.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
7.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series420.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (- t 1.0) (log a))
50.0ms
(* y (log z))
196.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
118.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0493869
12033715
25001683

prune345.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1016107
Fresh011
Picked101
Done000
Total1027109

Merged error: 0.0b

Counts
109 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.2b
(* (log (/ 1 a)) t)
0.3b
(* y (log (/ 1 z)))
0.9b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
96×add-sqr-sqrt
81×associate-*r*
76×*-un-lft-identity
75×add-cube-cbrt
55×unpow-prod-down
45×add-exp-log
26×log-prod
24×div-exp
22×add-cbrt-cube
17×exp-sum
16×prod-exp
14×pow1
13×distribute-rgt-in distribute-lft-in
12×associate-*l*
8×pow-exp div-inv unswap-sqr
6×log-pow cbrt-unprod
5×cbrt-undiv sqr-pow
4×add-log-exp
3×pow-prod-down associate-/r* *-commutative
2×pow-to-exp rec-exp pow-flip 1-exp associate-*r/ log-rec inv-pow
1×distribute-lft-neg-out frac-2neg clear-num distribute-rgt-neg-out associate-/l/ associate-/l*
Counts
4 → 199
Calls
4 calls:
30.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
4.0ms
(* (log (/ 1 a)) t)
6.0ms
(* y (log (/ 1 z)))
20.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series758.0ms

Counts
4 → 12
Calls
4 calls:
325.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
59.0ms
(* (log (/ 1 a)) t)
39.0ms
(* y (log (/ 1 z)))
334.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010772667
150022322

prune683.0ms

Filtered
211 candidates to 145 candidates (68.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2083211
Fresh336
Picked101
Done000
Total2126218

Merged error: 0.0b

Counts
218 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* y (log (/ 1 z)))
0.3b
(* y (log (/ 1 z)))
0.3b
(* y (log (/ 1 z)))
0.9b
(/ (* (* x (/ (pow (sqrt (/ 1 a)) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ (pow (sqrt (/ 1 a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
180×add-exp-log
81×div-exp
78×log-prod
75×prod-exp
60×add-sqr-sqrt
57×times-frac
54×add-cube-cbrt *-un-lft-identity
44×add-cbrt-cube
39×distribute-rgt-in distribute-lft-in
19×cbrt-unprod
18×associate-*r*
17×cbrt-undiv
16×pow1 pow-to-exp pow-exp
9×associate-*l* log-pow
7×div-inv
4×add-log-exp
3×pow-flip associate-*r/ log-rec pow-prod-down associate-/r* *-commutative distribute-rgt-neg-out associate-/l/ inv-pow unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num associate-/l*
Counts
4 → 206
Calls
4 calls:
7.0ms
(* y (log (/ 1 z)))
7.0ms
(* y (log (/ 1 z)))
7.0ms
(* y (log (/ 1 z)))
56.0ms
(/ (* (* x (/ (pow (sqrt (/ 1 a)) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ (pow (sqrt (/ 1 a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series474.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* y (log (/ 1 z)))
38.0ms
(* y (log (/ 1 z)))
42.0ms
(* y (log (/ 1 z)))
356.0ms
(/ (* (* x (/ (pow (sqrt (/ 1 a)) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ (pow (sqrt (/ 1 a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify129.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08404123
138413317
250023142

prune710.0ms

Filtered
218 candidates to 104 candidates (47.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2171218
Fresh055
Picked101
Done000
Total2186224

Merged error: 0b

Counts
224 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* y (log (/ 1 z)))
0.3b
(* y (log (/ 1 z)))
0.3b
(* y (log (/ 1 z)))
0.7b
(/ (* x (/ (pow (sqrt (/ 1 a)) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ y (/ (pow (sqrt (/ 1 a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
2573×times-frac
972×add-sqr-sqrt
966×add-cube-cbrt *-un-lft-identity
672×unpow-prod-down
546×sqrt-prod
480×cbrt-prod
437×associate-/r*
208×add-exp-log
126×div-exp
120×exp-sum
78×log-prod
57×div-inv
54×add-cbrt-cube
53×prod-exp
42×sqr-pow
39×distribute-rgt-in distribute-lft-in
30×cbrt-undiv
18×pow-to-exp associate-*r* pow-exp
16×pow1
15×cbrt-unprod
9×associate-*l* log-pow
4×add-log-exp
3×pow-flip log-rec pow-prod-down associate-/r/ *-commutative distribute-rgt-neg-out inv-pow unswap-sqr
1×frac-2neg associate-*r/ clear-num associate-/l/ associate-/l*
Counts
4 → 1083
Calls
4 calls:
7.0ms
(* y (log (/ 1 z)))
7.0ms
(* y (log (/ 1 z)))
7.0ms
(* y (log (/ 1 z)))
108.0ms
(/ (* x (/ (pow (sqrt (/ 1 a)) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ y (/ (pow (sqrt (/ 1 a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))))

series488.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* y (log (/ 1 z)))
43.0ms
(* y (log (/ 1 z)))
38.0ms
(* y (log (/ 1 z)))
370.0ms
(/ (* x (/ (pow (sqrt (/ 1 a)) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ y (/ (pow (sqrt (/ 1 a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))))

simplify489.0ms

Algorithm
egg-herbie
Counts
1095 → 1095
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
0500151054

prune6.5s

Filtered
1095 candidates to 851 candidates (77.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New109501095
Fresh055
Picked011
Done000
Total109561101

Merged error: 0b

Counts
1101 → 6

regimes308.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03342
13342

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.4s45929×body80nan
972.0ms15346×body80valid