Details

Time bar (total: 6.8s)

sample18.0ms

Algorithm
intervals
Results
6.0ms275×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
22.0ms
(/ (- x y) (- z y))
48.0ms
(* (/ (- x y) (- z y)) t)

series162.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (- x y) (- z y))
105.0ms
(* (/ (- x y) (- z y)) t)

simplify100.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune211.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
4.1b
(cbrt (/ (- x y) (- z y)))
4.1b
(cbrt (/ (- x y) (- z y)))
4.1b
(cbrt (/ (- x y) (- z y)))

rewrite496.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
15×cbrt-div
13×pow1 add-exp-log
12×associate-*l/
9×add-cbrt-cube
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
5×frac-times
4×add-log-exp
3×flip3-- pow1/3 associate-*r/ associate-*r* flip-- div-inv
1×associate-*l* *-commutative
Counts
4 → 148
Calls
4 calls:
458.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
9.0ms
(cbrt (/ (- x y) (- z y)))
9.0ms
(cbrt (/ (- x y) (- z y)))
10.0ms
(cbrt (/ (- x y) (- z y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
306.0ms
(cbrt (/ (- x y) (- z y)))
338.0ms
(cbrt (/ (- x y) (- z y)))
333.0ms
(cbrt (/ (- x y) (- z y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04461805
113111631
250011555

prune455.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

4.1b
(cbrt (/ (- x y) (- z y)))
4.1b
(cbrt (/ (- x y) (- z y)))
4.1b
(cbrt (/ (- x y) (- z y)))
4.1b
(cbrt (/ (- x y) (- z y)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
128×add-sqr-sqrt *-un-lft-identity
124×cbrt-prod
100×times-frac
48×add-cube-cbrt
40×distribute-lft-out-- difference-of-squares
8×associate-/r/
4×pow1 add-exp-log cbrt-div flip3-- pow1/3 add-cbrt-cube flip-- div-inv add-log-exp
Counts
4 → 160
Calls
4 calls:
9.0ms
(cbrt (/ (- x y) (- z y)))
9.0ms
(cbrt (/ (- x y) (- z y)))
9.0ms
(cbrt (/ (- x y) (- z y)))
10.0ms
(cbrt (/ (- x y) (- z y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
348.0ms
(cbrt (/ (- x y) (- z y)))
302.0ms
(cbrt (/ (- x y) (- z y)))
319.0ms
(cbrt (/ (- x y) (- z y)))
317.0ms
(cbrt (/ (- x y) (- z y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
02961772
16351736
221621728
350011688

prune633.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×associate-*r*
26×times-frac
18×add-cube-cbrt
16×add-exp-log
12×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp associate-/r/ unswap-sqr
1×flip3-- associate-*r/ associate-*l* *-commutative flip-- div-inv
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt t)
2.0ms
(cbrt t)
1.0ms
(cbrt t)
80.0ms
(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

series803.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt t)
189.0ms
(cbrt t)
194.0ms
(cbrt t)
240.0ms
(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0355603
11798473
25002455

prune228.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes337.0ms

Accuracy

0.4% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch45.0ms

Steps
ItersRangePoint
6
1.5105906695219265e-189
6.732167410216168e-189
3.2243822314781527e-189
7
-4.907254476144246e-102
-2.2562448575670015e-104
-2.2985207859465633e-104

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample504.0ms

Algorithm
intervals
Results
210.0ms8718×body80valid