Details

Time bar (total: 12.7s)

sample184.0ms

Algorithm
intervals
Results
75.0ms1490×body80nan
31.0ms505×body80valid

simplify53.0ms

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: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (log z))
0.3b
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.8b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt add-cbrt-cube
11×add-exp-log
10×associate-*r* add-log-exp
9×pow1
6×log-prod associate-*l* exp-sum
5×exp-prod
3×distribute-rgt-in distribute-lft-in times-frac exp-diff prod-exp associate-/r* cbrt-unprod rem-exp-log
2×cbrt-undiv sub-neg diff-log associate-*r/ div-exp pow-prod-down associate--l+ *-commutative unswap-sqr
1×frac-2neg clear-num sum-log log-pow div-inv associate-/l/ associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
4.0ms
(* y (log z))
96.0ms
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
75.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
32.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series469.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* y (log z))
143.0ms
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
171.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
116.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify51.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0404981
11795794
25002749

prune393.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (log (/ 1 z)))
0.3b
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.3b
(* (log (/ 1 a)) t)
0.8b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite257.0ms

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:
7.0ms
(* y (log (/ 1 z)))
140.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
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)

series761.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* y (log (/ 1 z)))
329.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
62.0ms
(* (log (/ 1 a)) t)
327.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify50.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010772667
150012317

prune887.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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)
0.8b
(/ (* (* 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)

rewrite320.0ms

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:
4.0ms
(* (log (/ 1 a)) t)
4.0ms
(* (log (/ 1 a)) t)
6.0ms
(* (log (/ 1 a)) t)
294.0ms
(/ (* (* 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)

series730.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (log (/ 1 a)) t)
63.0ms
(* (log (/ 1 a)) t)
64.0ms
(* (log (/ 1 a)) t)
543.0ms
(/ (* (* 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 (68.0ms)

IterNodesCost
09744863
134284033
250023858

prune746.0ms

Pruning

7 alts after pruning (7 fresh and 0 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)
0.7b
(/ y (* (* 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)))))))

rewrite319.0ms

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 associate-/r* div-inv
Counts
4 → 156
Calls
4 calls:
4.0ms
(* (log (/ 1 a)) t)
4.0ms
(* (log (/ 1 a)) t)
4.0ms
(* (log (/ 1 a)) t)
295.0ms
(/ y (* (* 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)))))))

series496.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (log (/ 1 a)) t)
62.0ms
(* (log (/ 1 a)) t)
64.0ms
(* (log (/ 1 a)) t)
307.0ms
(/ y (* (* 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)))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
010244917
133014092
250033982

prune731.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes355.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04047
14047

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.3s45653×body80nan
917.0ms15039×body80valid