Details

Time bar (total: 4.6s)

sample28.0ms

Algorithm
intervals
Results
14.0ms352×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (21.0ms)

IterNodesCost
0164
1324
2714
31604
42744
54624
67274
78913
810833
912163
1012693
1112693

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

1.9b
(fma (/ y a) (- t z) 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 a) (- t z) x)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(fma (/ y a) (- t z) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04169
19462
227253
3130853
4500153

prune35.0ms

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 a) (- t z)) x)
7.2b
(* (/ y a) (- t z))

rewrite34.0ms

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 a) (- t z)) x)
19.0ms
(* (/ y a) (- t z))

series102.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (* (/ y a) (- t z)) x)
52.0ms
(* (/ y a) (- t z))

simplify50.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0476779
11775547
25001533

prune241.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.6b
(* (cbrt a) (cbrt a))
2.5b
(* (/ y (cbrt a)) (- t z))
3.8b
(* (/ 1 (* (cbrt a) (cbrt a))) (* (/ y (cbrt a)) (- t z)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
89×add-exp-log
83×add-sqr-sqrt
67×*-un-lft-identity
65×add-cube-cbrt
55×distribute-rgt-in distribute-lft-in
54×prod-diff
47×prod-exp
35×associate-*l* add-cbrt-cube
29×cbrt-prod
23×times-frac
21×cbrt-unprod
20×div-exp
18×pow1
12×associate-*r*
11×frac-times associate-*r/
10×cbrt-undiv
7×pow1/3 unswap-sqr
6×sub-neg rec-exp flip3-- 1-exp swap-sqr pow-prod-down flip--
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up div-inv
1×pow2 pow-plus distribute-lft-out-- difference-of-squares
Counts
4 → 232
Calls
4 calls:
0.0ms
(cbrt a)
6.0ms
(* (cbrt a) (cbrt a))
20.0ms
(* (/ y (cbrt a)) (- t z))
51.0ms
(* (/ 1 (* (cbrt a) (cbrt a))) (* (/ y (cbrt a)) (- t z)))

series631.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt a)
194.0ms
(* (cbrt a) (cbrt a))
178.0ms
(* (/ y (cbrt a)) (- t z))
85.0ms
(* (/ 1 (* (cbrt a) (cbrt a))) (* (/ y (cbrt a)) (- t z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
244 → 244
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011002769
150011853

prune523.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

2.8b
(cbrt (/ y (cbrt a)))
2.8b
(cbrt (/ y (cbrt a)))
2.8b
(cbrt (/ y (cbrt a)))
3.8b
(* (/ 1 (* (cbrt a) (cbrt a))) (* (* (cbrt (/ y (cbrt a))) (cbrt (/ y (cbrt a)))) (* (cbrt (/ y (cbrt a))) (- t z))))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
155×add-exp-log
132×distribute-rgt-in distribute-lft-in
106×prod-exp
93×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
81×frac-times
75×cbrt-div
72×prod-diff
61×associate-*r/
57×times-frac
45×add-cbrt-cube
44×cbrt-unprod
27×associate-*l/
22×pow1
20×div-exp
16×flip3-- flip--
13×pow-prod-down
10×cbrt-undiv rec-exp 1-exp
8×sub-neg
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 307
Calls
4 calls:
2.0ms
(cbrt (/ y (cbrt a)))
2.0ms
(cbrt (/ y (cbrt a)))
2.0ms
(cbrt (/ y (cbrt a)))
192.0ms
(* (/ 1 (* (cbrt a) (cbrt a))) (* (* (cbrt (/ y (cbrt a))) (cbrt (/ y (cbrt a)))) (* (cbrt (/ y (cbrt a))) (- t z))))

series571.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(cbrt (/ y (cbrt a)))
164.0ms
(cbrt (/ y (cbrt a)))
166.0ms
(cbrt (/ y (cbrt a)))
75.0ms
(* (/ 1 (* (cbrt a) (cbrt a))) (* (* (cbrt (/ y (cbrt a))) (cbrt (/ y (cbrt a)))) (* (cbrt (/ y (cbrt a))) (- t z))))

simplify77.0ms

Algorithm
egg-herbie
Counts
319 → 319
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
018927249
150014751

prune742.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes171.0ms

Accuracy

48.4% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.4b

bsearch83.0ms

Steps
ItersRangePoint
8
1.2501576144527626e+53
5.483599389730806e+56
1.2727793494611607e+53
8
-1.868744300701282e-18
-1.5823055470786215e-22
-5.867169874104073e-19

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03012
13212
23212

end0.0ms

sample781.0ms

Algorithm
intervals
Results
467.0ms10665×body80valid