Details

Time bar (total: 9.0s)

sample125.0ms

Algorithm
intervals
Results
46.0ms705×body80nan
15.0ms177×body80valid
13.0ms18×body1280valid
12.0ms27×body640valid
6.0ms22×body320valid
2.0ms13×body160valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0227
1386
2536
3616
4786
51106
61756
72846
83636
93926
104766
114766

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.2b
(fma (log y) x (- (* z (log (- 1.0 y))) t))
4.4b
(log (- 1.0 y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×log-prod
14×*-un-lft-identity
8×add-cube-cbrt
7×pow1
6×add-exp-log
5×distribute-rgt-in distribute-lft-in add-cbrt-cube
4×associate-*r*
3×expm1-log1p-u associate-*l* log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×log-div log-pow
1×flip3-- rem-log-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
3 → 59
Calls
3 calls:
7.0ms
(* z (log (- 1.0 y)))
0.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
3.0ms
(log (- 1.0 y))

series239.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* z (log (- 1.0 y)))
125.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
44.0ms
(log (- 1.0 y))

simplify106.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0332427
11128376
24553369
35001366

prune199.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.1b
(fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt prod-diff
23×*-un-lft-identity
20×add-cube-cbrt
17×distribute-rgt-in distribute-lft-in
11×pow1
7×log-pow
6×log-prod associate-*r* associate--l+
4×add-exp-log add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u distribute-lft-out-- add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef difference-of-squares unswap-sqr
Counts
2 → 69
Calls
2 calls:
31.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0ms
(fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

series294.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
176.0ms
(fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

simplify72.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
03011692
111931016
25001936

prune212.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
14.1b
(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
14.1b
(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
14.1b
(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
9.0ms
(* (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
11.0ms
(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms
(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms
(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
394.0ms
(* (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
342.0ms
(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
344.0ms
(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
343.0ms
(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify73.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05932423
123002263
250012173

prune535.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (log y) x (- (* z (log (- 1.0 y))) t)))
4.4b
(log (- 1.0 y))
4.4b
(log (- 1.0 y))
4.4b
(log (- 1.0 y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×log-prod
14×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×pow1 add-exp-log
6×log-div
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod flip3-- rem-log-exp log-pow flip-- distribute-lft-out-- difference-of-squares
1×pow1/3
Counts
4 → 67
Calls
4 calls:
0.0ms
(cbrt (fma (log y) x (- (* z (log (- 1.0 y))) t)))
3.0ms
(log (- 1.0 y))
3.0ms
(log (- 1.0 y))
3.0ms
(log (- 1.0 y))

series1.2s

Counts
4 → 12
Calls
4 calls:
1.1s
(cbrt (fma (log y) x (- (* z (log (- 1.0 y))) t)))
41.0ms
(log (- 1.0 y))
47.0ms
(log (- 1.0 y))
41.0ms
(log (- 1.0 y))

simplify70.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0257514
1669465
22473455
35001448

prune348.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes150.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312
12312

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.5s23922×body80nan
443.0ms5521×body80valid
372.0ms905×body640valid
293.0ms401×body1280valid
194.0ms738×body320valid
78.0ms469×body160valid