Details

Time bar (total: 11.7s)

sample175.0ms

Algorithm
intervals
Results
70.0ms1314×body80nan
28.0ms398×body80valid
5.0ms15×body640valid
2.0ms10×body320valid
1.0ms1×body1280valid
1.0ms7×body160valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03110
16210
213710
334410
4115510
5500110

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (- (log (- 1.0 z)) b))
0.1b
(* y (- (log z) t))
0.3b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.6b
(log (- 1.0 z))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
96×prod-diff
91×add-sqr-sqrt
89×*-un-lft-identity
73×add-cube-cbrt
72×distribute-rgt-in distribute-lft-in
38×associate-+r+
37×log-prod
35×pow1
34×associate-+l+
32×associate--l+
27×log-pow
12×associate-*r/ associate-*r*
9×add-exp-log distribute-lft-out--
8×sub-neg add-cbrt-cube
7×flip3-- flip-- difference-of-squares
6×associate-*l* add-log-exp
4×expm1-log1p-u frac-add log1p-expm1-u
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def flip3-+ rem-log-exp sum-log flip-+
Counts
4 → 230
Calls
4 calls:
17.0ms
(* a (- (log (- 1.0 z)) b))
14.0ms
(* y (- (log z) t))
29.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.0ms
(log (- 1.0 z))

series428.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* a (- (log (- 1.0 z)) b))
99.0ms
(* y (- (log z) t))
217.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
40.0ms
(log (- 1.0 z))

simplify109.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09592405
139101813
250011810

prune705.0ms

Filtered
242 candidates to 139 candidates (57.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.0b
(* 1/2 (/ (pow z 2) (pow 1.0 2)))
0.1b
(* y (- (log z) t))
0.3b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite711.0ms

Algorithm
rewrite-expression-head
Rules
208×add-sqr-sqrt
188×*-un-lft-identity
168×prod-diff
142×add-cube-cbrt
108×distribute-rgt-in distribute-lft-in
92×associate--l+
81×associate-*r*
80×times-frac
74×associate-+r+
56×unpow-prod-down
48×pow1
38×log-pow
34×associate-+l+
31×add-exp-log distribute-lft-out--
24×log-prod unpow2 sqr-pow
19×unswap-sqr
14×difference-of-squares
13×associate-*r/ add-cbrt-cube
12×sub-neg prod-exp
9×div-exp associate-*l*
6×pow-to-exp flip3-- pow-exp flip-- add-log-exp
4×expm1-log1p-u frac-add cbrt-unprod log1p-expm1-u
3×pow-prod-down *-commutative
1×cbrt-undiv +-commutative fma-def flip3-+ sum-log flip-+ div-inv
Counts
4 → 397
Calls
4 calls:
482.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
27.0ms
(* 1/2 (/ (pow z 2) (pow 1.0 2)))
15.0ms
(* y (- (log z) t))
163.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series559.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
85.0ms
(* 1/2 (/ (pow z 2) (pow 1.0 2)))
104.0ms
(* y (- (log z) t))
265.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify86.0ms

Algorithm
egg-herbie
Counts
409 → 409
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015216345
150014737

prune1.4s

Filtered
409 candidates to 214 candidates (52.3%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))))
0.7b
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
0.7b
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
0.7b
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
52×*-un-lft-identity
37×add-sqr-sqrt
22×pow1 distribute-lft-out--
18×cbrt-div
15×add-cube-cbrt swap-sqr
11×log-pow
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
184.0ms
(* (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))))
22.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
22.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
25.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))

series933.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(* (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))))
219.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
226.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
224.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))

simplify74.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05272977
119672821
250012531

prune875.0ms

Filtered
131 candidates to 92 candidates (70.2%)
Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04642
15342
25342

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.2s40081×body80nan
757.0ms12257×body80valid
131.0ms379×body640valid
93.0ms429×body320valid
58.0ms81×body1280valid
33.0ms253×body160valid