Details

Time bar (total: 7.6s)

sample22.0ms

Algorithm
intervals
Results
9.0ms277×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- fma-neg prod-diff associate-/r* flip-- associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 54
Calls
2 calls:
2.0ms
(- t (* a z))
9.0ms
(/ (- x (* y z)) (- t (* a z)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- t (* a z))
61.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0246397
1829362
23584358
35001351

prune207.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.6b
(/ (- x (* y z)) (* 1 (- t (* a z))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
7×add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×flip3-- times-frac fma-neg div-exp prod-diff flip-- associate-/l*
2×pow1 cbrt-undiv expm1-log1p-u associate-*r/ prod-exp associate-/r/ log1p-expm1-u associate-/l/
1×sub-neg frac-2neg diff-log 1-exp div-sub clear-num associate-/r* cbrt-unprod div-inv
Counts
2 → 49
Calls
2 calls:
3.0ms
(- t (* a z))
9.0ms
(/ (- x (* y z)) (* 1 (- t (* a z))))

series98.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- t (* a z))
64.0ms
(/ (- x (* y z)) (* 1 (- t (* a z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0278331
11093281
25000276

prune170.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
1.5b
(/ y (/ (- t (* a z)) z))
4.5b
(/ x (- t (* a z)))
7.8b
(/ (- t (* a z)) z)

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
1499×times-frac
923×add-sqr-sqrt
908×*-un-lft-identity
902×add-cube-cbrt
660×prod-diff
112×div-inv
108×associate-/r/
48×flip3-- flip--
19×associate-/r*
15×fma-neg
13×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×associate-/l/ distribute-lft-out--
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 833
Calls
4 calls:
85.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
7.0ms
(/ y (/ (- t (* a z)) z))
4.0ms
(/ x (- t (* a z)))
7.0ms
(/ (- t (* a z)) z)

series229.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
48.0ms
(/ y (/ (- t (* a z)) z))
45.0ms
(/ x (- t (* a z)))
35.0ms
(/ (- t (* a z)) z)

simplify312.0ms

Algorithm
egg-herbie
Counts
845 → 845
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0250135235
1500228517

prune3.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
1.5b
(/ y (- (/ t z) a))
4.5b
(/ x (- t (* a z)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
607×add-sqr-sqrt
579×times-frac
459×*-un-lft-identity
363×prod-diff
350×add-cube-cbrt
102×difference-of-squares
84×associate-/r/
53×distribute-lft-out--
44×flip3-- flip--
42×div-inv
18×fma-neg
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num
1×frac-sub
Counts
4 → 491
Calls
4 calls:
3.0ms
(- t (* a z))
80.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
20.0ms
(/ y (- (/ t z) a))
4.0ms
(/ x (- t (* a z)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- t (* a z))
98.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
36.0ms
(/ y (- (/ t z) a))
41.0ms
(/ x (- t (* a z)))

simplify206.0ms

Algorithm
egg-herbie
Counts
503 → 503
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
0133316546
1364112657
2500112530

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

regimes244.0ms

Accuracy

0% (1.5b remaining)

Error of 2.9b against oracle of 1.4b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample579.0ms

Algorithm
intervals
Results
292.0ms8732×body80valid