Details

Time bar (total: 12.1s)

sample195.0ms

Algorithm
intervals
Results
86.0ms1532×body80nan
31.0ms484×body80valid

simplify52.0ms

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)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.7b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.7b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite123.0ms

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:
10.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
74.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
32.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series381.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (- t 1.0) (log a))
37.0ms
(* y (log z))
169.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
115.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify55.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0493869
12033715
25001683

prune362.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.3b
(* y (log (/ 1 z)))
0.3b
(* (log (/ 1 a)) t)
0.7b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite249.0ms

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:
137.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
7.0ms
(* y (log (/ 1 z)))
4.0ms
(* (log (/ 1 a)) t)
91.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series774.0ms

Counts
4 → 12
Calls
4 calls:
336.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
37.0ms
(* y (log (/ 1 z)))
62.0ms
(* (log (/ 1 a)) t)
339.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010772667
150022322

prune837.0ms

Filtered
211 candidates to 145 candidates (68.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite324.0ms

Algorithm
rewrite-expression-head
Rules
433×add-exp-log
221×div-exp
168×prod-exp
68×pow-exp
44×add-cbrt-cube
24×pow-to-exp
19×cbrt-unprod
18×add-sqr-sqrt associate-*l*
17×cbrt-undiv
16×pow1
12×add-cube-cbrt *-un-lft-identity
10×rec-exp 1-exp
9×associate-*r* log-pow
4×add-log-exp
3×distribute-lft-neg-out pow-flip times-frac associate-*r/ log-rec pow-prod-down associate-/r* *-commutative associate-/l/ inv-pow unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num div-inv associate-/l*
Counts
4 → 166
Calls
4 calls:
4.0ms
(* (log (/ 1 a)) t)
4.0ms
(* (log (/ 1 a)) t)
4.0ms
(* (log (/ 1 a)) t)
300.0ms
(/ (* (* x (/ (pow (/ 1 (sqrt 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) (sqrt a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series752.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (log (/ 1 a)) t)
64.0ms
(* (log (/ 1 a)) t)
66.0ms
(* (log (/ 1 a)) t)
553.0ms
(/ (* (* x (/ (pow (/ 1 (sqrt 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) (sqrt a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify109.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
010524937
135274145
250033959

prune899.0ms

Filtered
178 candidates to 80 candidates (44.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (* (pow a (- t 1.0)) (pow z y)))
0.2b
(pow a (- t 1.0))
1.0b
(/ x (* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b)))
2.1b
(* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
89×add-exp-log
49×prod-exp
42×div-exp
32×add-cbrt-cube
19×pow-to-exp pow-exp
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
10×cbrt-undiv
9×times-frac cbrt-unprod
8×associate-*l*
7×pow1
6×associate-/l*
5×pow-unpow
4×associate-*l/ add-log-exp
3×unpow-prod-down associate-*r* associate-/r/ div-inv pow-sub
2×unpow-prod-up frac-2neg clear-num associate-/r*
1×sub-neg pow-pow pow-prod-down *-commutative distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
4 → 122
Calls
4 calls:
5.0ms
(/ y (* (pow a (- t 1.0)) (pow z y)))
3.0ms
(pow a (- t 1.0))
15.0ms
(/ x (* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b)))
20.0ms
(* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b))

series589.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(/ y (* (pow a (- t 1.0)) (pow z y)))
60.0ms
(pow a (- t 1.0))
201.0ms
(/ x (* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b)))
190.0ms
(* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b))

simplify78.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06511156
12799979
25001977

prune355.0ms

Filtered
134 candidates to 80 candidates (59.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.4s44801×body80nan
982.0ms15051×body80valid