Details

Time bar (total: 13.6s)

sample194.0ms

Algorithm
intervals
Results
78.0ms1417×body80nan
32.0ms469×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- t 1.0) (log a))
0.2b
(* y (log z))
0.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite125.0ms

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))
75.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
33.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series398.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (- t 1.0) (log a))
51.0ms
(* y (log z))
180.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
114.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify51.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0493869
12033715
25001683

prune336.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)))))
0.2b
(* y (log (/ 1 z)))
0.3b
(* (log (/ 1 a)) t)
0.5b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite260.0ms

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:
143.0ms
(* 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)
92.0ms
(/ (* 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:
339.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
39.0ms
(* y (log (/ 1 z)))
62.0ms
(* (log (/ 1 a)) t)
333.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify48.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010772667
150022322

prune786.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

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)
0.5b
(/ (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 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 (/ (cbrt 1) (sqrt a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

rewrite324.0ms

Algorithm
rewrite-expression-head
Rules
390×add-exp-log
191×div-exp
153×prod-exp
54×pow-exp
44×add-cbrt-cube
22×pow-to-exp
19×cbrt-unprod
18×add-sqr-sqrt associate-*l*
17×cbrt-undiv
16×pow1
12×add-cube-cbrt *-un-lft-identity
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 → 156
Calls
4 calls:
5.0ms
(* (log (/ 1 a)) t)
5.0ms
(* (log (/ 1 a)) t)
5.0ms
(* (log (/ 1 a)) t)
298.0ms
(/ (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 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 (/ (cbrt 1) (sqrt a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series727.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (log (/ 1 a)) t)
57.0ms
(* (log (/ 1 a)) t)
62.0ms
(* (log (/ 1 a)) t)
544.0ms
(/ (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 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 (/ (cbrt 1) (sqrt a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify108.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
09744863
134284033
250023858

prune673.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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)
0.5b
(* (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 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 (/ (cbrt 1) (sqrt a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ 1 y))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
1591×add-exp-log
847×prod-exp
642×div-exp
216×pow-exp
88×pow-to-exp
87×add-cbrt-cube
61×rec-exp 1-exp
53×cbrt-unprod
25×pow1 cbrt-undiv
23×add-sqr-sqrt
22×associate-*r*
19×associate-*l*
17×add-cube-cbrt *-un-lft-identity
9×times-frac pow-prod-down log-pow
7×associate-*r/
5×frac-times associate-*l/
4×*-commutative add-log-exp
3×distribute-lft-neg-out pow-flip log-rec inv-pow unswap-sqr
1×un-div-inv div-inv
Counts
4 → 361
Calls
4 calls:
5.0ms
(* (log (/ 1 a)) t)
5.0ms
(* (log (/ 1 a)) t)
5.0ms
(* (log (/ 1 a)) t)
1.2s
(* (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 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 (/ (cbrt 1) (sqrt a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ 1 y))

series754.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (log (/ 1 a)) t)
59.0ms
(* (log (/ 1 a)) t)
65.0ms
(* (log (/ 1 a)) t)
564.0ms
(* (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 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 (/ (cbrt 1) (sqrt a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ 1 y))

simplify136.0ms

Algorithm
egg-herbie
Counts
373 → 373
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
0170914267
1500112344

prune784.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes503.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.2s44143×body80nan
887.0ms14865×body80valid