Details

Time bar (total: 4.6s)

sample21.0ms

Algorithm
intervals
Results
9.0ms347×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0144
1254
2483
3963
41533
52033
62473
74013
86803
911333
1018663
1132913
1247453
1350013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.9b
(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y t) (- z x) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma (/ y t) (- z x) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
04069
19362
227053
3130053
4500153

prune37.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y t) (- z x)) x)
7.1b
(* (/ y t) (- z x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
10.0ms
(+ (* (/ y t) (- z x)) x)
16.0ms
(* (/ y t) (- z x))

series87.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* (/ y t) (- z x)) x)
55.0ms
(* (/ y t) (- z x))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0468779
11870547
25001533

prune269.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.4b
(* (/ y (cbrt t)) (- z x))
3.5b
(* (/ 1 (* (cbrt t) (cbrt t))) (* (/ y (cbrt t)) (- z x)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
68×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
55×distribute-rgt-in distribute-lft-in
54×prod-diff
46×prod-exp
35×add-cbrt-cube
29×associate-*l*
23×times-frac
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1 frac-times associate-*r/
10×cbrt-undiv
6×sub-neg rec-exp flip3-- 1-exp associate-*r* flip--
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 203
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
21.0ms
(* (/ y (cbrt t)) (- z x))
51.0ms
(* (/ 1 (* (cbrt t) (cbrt t))) (* (/ y (cbrt t)) (- z x)))

series630.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt t)
174.0ms
(cbrt t)
185.0ms
(* (/ y (cbrt t)) (- z x))
84.0ms
(* (/ 1 (* (cbrt t) (cbrt t))) (* (/ y (cbrt t)) (- z x)))

simplify112.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010352633
147961665
250011665

prune439.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
1.3b
(* (/ (* (cbrt 1) (cbrt 1)) (cbrt t)) (* (/ (cbrt 1) (cbrt t)) (* (/ y (cbrt t)) (- z x))))
2.4b
(* (/ y (cbrt t)) (- z x))
2.5b
(* (/ (cbrt 1) (cbrt t)) (* (/ y (cbrt t)) (- z x)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
187×distribute-rgt-in distribute-lft-in
141×add-sqr-sqrt
138×add-exp-log
133×*-un-lft-identity
131×add-cube-cbrt
126×prod-diff
77×add-cbrt-cube
72×associate-*l*
70×prod-exp cbrt-unprod
62×times-frac
52×cbrt-prod
40×frac-times associate-*r/
35×cbrt-undiv div-exp
20×pow1
14×sub-neg flip3-- flip--
11×associate-*l/
10×pow-prod-down
7×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
1×pow1/3 distribute-lft-out-- difference-of-squares
Counts
4 → 382
Calls
4 calls:
1.0ms
(cbrt t)
105.0ms
(* (/ (* (cbrt 1) (cbrt 1)) (cbrt t)) (* (/ (cbrt 1) (cbrt t)) (* (/ y (cbrt t)) (- z x))))
20.0ms
(* (/ y (cbrt t)) (- z x))
44.0ms
(* (/ (cbrt 1) (cbrt t)) (* (/ y (cbrt t)) (- z x)))

series733.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt t)
89.0ms
(* (/ (* (cbrt 1) (cbrt 1)) (cbrt t)) (* (/ (cbrt 1) (cbrt t)) (* (/ y (cbrt t)) (- z x))))
189.0ms
(* (/ y (cbrt t)) (- z x))
278.0ms
(* (/ (cbrt 1) (cbrt t)) (* (/ y (cbrt t)) (- z x)))

simplify96.0ms

Algorithm
egg-herbie
Counts
394 → 394
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
019417415
150016131

prune883.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample559.0ms

Algorithm
intervals
Results
284.0ms10766×body80valid