Details

Time bar (total: 13.0s)

sample267.0ms

Algorithm
intervals
Results
97.0ms1440×body80nan
38.0ms485×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune17.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

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))
0.8b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite30.0ms

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))
4.0ms
(* y (log z))
6.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
10.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series130.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))
45.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
69.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify57.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0569965
12353793
25001726

prune188.0ms

Filtered
107 candidates to 75 candidates (29.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1016107
Fresh011
Picked101
Done000
Total1027109

Merged error: 0.0b

Counts
109 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.8b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube
16×add-exp-log
13×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt
10×add-log-exp
9×times-frac associate-/r*
6×cbrt-undiv div-exp
5×exp-prod
4×pow1 exp-diff
3×frac-2neg associate-*r/ exp-sum prod-exp clear-num cbrt-unprod div-inv rem-exp-log associate-/l/ associate-/l*
2×diff-log
1×sub-neg associate--l+ sum-log distribute-lft-out-- difference-of-squares
Counts
4 → 85
Calls
4 calls:
7.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
11.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
11.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
11.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series256.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
69.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
70.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
71.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03641453
113561163
25001983

prune349.0ms

Filtered
97 candidates to 81 candidates (16.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh066
Picked011
Done000
Total977104

Merged error: 0.0b

Counts
104 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (/ 1 a)) t)
0.3b
(* (log (/ 1 z)) y)
4.3b
(/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x))
7.7b
(* (/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x)) (/ (* (pow 1 1.0) (exp (neg (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) 1))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
2419×add-exp-log
1602×div-exp
1547×prod-exp
876×pow-exp
597×1-exp
342×pow-to-exp
96×rec-exp
89×add-cbrt-cube
56×times-frac
38×add-sqr-sqrt
34×cbrt-undiv
32×add-cube-cbrt *-un-lft-identity
30×associate-*l* cbrt-unprod
14×pow1
13×associate-*r* associate-/r*
6×log-pow div-inv
4×add-log-exp
3×pow-prod-down *-commutative unswap-sqr
2×distribute-lft-neg-out pow-flip log-rec associate-/r/ inv-pow
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/l*
Counts
4 → 750
Calls
4 calls:
5.0ms
(* (log (/ 1 a)) t)
5.0ms
(* (log (/ 1 z)) y)
12.0ms
(/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x))
36.0ms
(* (/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x)) (/ (* (pow 1 1.0) (exp (neg (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) 1))

series313.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (log (/ 1 a)) t)
11.0ms
(* (log (/ 1 z)) y)
100.0ms
(/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x))
189.0ms
(* (/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x)) (/ (* (pow 1 1.0) (exp (neg (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) 1))

simplify146.0ms

Algorithm
egg-herbie
Counts
762 → 762
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0247814424
1500210821

prune474.0ms

Filtered
762 candidates to 113 candidates (85.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New7611762
Fresh145
Picked011
Done011
Total7627769

Merged error: 0b

Counts
769 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (/ 1 a)) t)
0.3b
(* (log (/ 1 z)) y)
4.6b
(* (pow (/ 1 a) 1.0) (/ x y))
7.7b
(* (* (pow (/ 1 a) 1.0) (/ x y)) (/ (* (pow 1 1.0) (exp (neg (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) 1))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
535×add-exp-log
393×prod-exp
250×div-exp
148×pow-exp
115×1-exp
54×add-sqr-sqrt
50×pow-to-exp
49×add-cbrt-cube
30×times-frac associate-*l*
27×*-un-lft-identity
26×associate-*r*
25×add-cube-cbrt
24×rec-exp
22×cbrt-unprod
19×unpow-prod-down
14×pow1
12×unswap-sqr
10×cbrt-undiv
6×log-pow
4×associate-*r/ *-commutative add-log-exp
3×pow-prod-down div-inv sqr-pow
2×distribute-lft-neg-out pow-flip log-rec inv-pow
1×frac-times associate-*l/
Counts
4 → 279
Calls
4 calls:
4.0ms
(* (log (/ 1 a)) t)
4.0ms
(* (log (/ 1 z)) y)
14.0ms
(* (pow (/ 1 a) 1.0) (/ x y))
22.0ms
(* (* (pow (/ 1 a) 1.0) (/ x y)) (/ (* (pow 1 1.0) (exp (neg (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) 1))

series205.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (log (/ 1 a)) t)
10.0ms
(* (log (/ 1 z)) y)
53.0ms
(* (pow (/ 1 a) 1.0) (/ x y))
131.0ms
(* (* (pow (/ 1 a) 1.0) (/ x y)) (/ (* (pow 1 1.0) (exp (neg (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) 1))

simplify60.0ms

Algorithm
egg-herbie
Counts
291 → 291
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
013364171
150013124

prune346.0ms

Filtered
291 candidates to 100 candidates (65.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2910291
Fresh044
Picked011
Done022
Total2917298

Merged error: 0b

Counts
298 → 7

regimes1.1s

Accuracy

39.5% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.0b

bsearch285.0ms

Steps
ItersRangePoint
5
1.91660360574596e-10
6.175293476756139e-10
3.032655618688982e-10
8
-1.4752868663562087e-81
-8.850452656221553e-85
-1.4817987582222575e-82

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06856
17356
28556
38556

end0.0ms

sample8.3s

Algorithm
intervals
Results
3.2s46301×body80nan
1.2s15361×body80valid

Profiling

Loading profile data...